.. Paramétrage-du-mât-au-seuil-de-l-'instabilité, 92 3.4.1 Comment fixer la fréquence naturelle du mât ? 92 3.4.2 Effet de l'inertie du mât, p.96

S. Michelin, mais peu de travaux expérimentaux ont été entrepris pour le discuter. Les détections expérimentales du chaos à notre connaissance sont basées sur le suivi d'un, 2008.

. Zhao, 2012) ou très récemment par nappe laser Comme les rayons laser sont fixes, la technique est raisonnable dans la limite des faibles déplacements du drapeau, 2012.

&. Cependantshelley and . Zhangpackard, Un autre inconvénient de cette technique est l'obtention d'une observable "locale" alors qu'une observable "globale" serait préférable pour rendre compte de la dynamique complète du drapeau Afin de contourner ces écueils, nous proposons d'utiliser le moment de flottement M (t) généré autour du mât par le drapeau (Chapitre 2) et de détecter l'apparition du chaos grâce aux séries temporelles associées. D'un point de vue mathématique, la caractérisation de la dynamique d'une série temporelle passe classiquement par la reconstruction d'un attracteur équivalent via la méthode du délai temporel, 1980.

C. Gautama, Afin de contourner ces difficultés, nous nous appuyons sur l'étude des récurrences dans l'espace de phase reconstruit, en combinant le travail de Poincaré (1890) et la théorie des valeurs extrêmes (Leadbetter et al., 3. Échantillonner la série temporelle y(t) en n blocs et en extraire les maxima (M j ) j=1..n . Les maxima de y(t) sont associés aux minima de x(t) ? ?, 1997.

. Faranda, Ajuster la distribution des maxima à la loi d'extremum généralisée via l'équation (E.1) Utiliser pour cela la méthode des L-moments, 2012.

A. Abderrahmane, H. Païdoussis, M. P. Fayed, M. Ng, and H. D. , Flapping dynamics of a flexible filament, Physical Review E, vol.84, issue.6, p.66604, 2011.
DOI : 10.1103/PhysRevE.84.066604

A. Abderrahmane, H. Païdoussis, M. P. Fayed, M. Ng, and H. D. , Nonlinear dynamics of silk and Mylar flags flapping in axial flow, Journal of Wind Engineering and Industrial Aerodynamics, vol.107, issue.108, pp.225-236, 2012.
DOI : 10.1016/j.jweia.2012.04.021

D. T. Akcabay and Y. L. Young, Hydroelastic response and energy harvesting potential of flexible piezoelectric beams in viscous flow, Physics of Fluids, vol.24, issue.5, p.54106, 2012.
DOI : 10.1063/1.4719704

M. Alava and K. Niskanen, The physics of paper, Reports on Progress in Physics, vol.69, issue.3, pp.669-723, 2006.
DOI : 10.1088/0034-4885/69/3/R03

S. Alben and M. J. Shelley, Flapping States of a Flag in an Inviscid Fluid: Bistability and the Transition to Chaos, Physical Review Letters, vol.100, issue.7, p.74301, 2008.
DOI : 10.1103/PhysRevLett.100.074301

S. Alben, Wake-mediated synchronization and drafting in coupled flags, Journal of Fluid Mechanics, vol.204, pp.489-496, 2009.
DOI : 10.1103/PhysRevLett.94.094302

J. J. Allen and A. J. Smits, ENERGY HARVESTING EEL, Journal of Fluids and Structures, vol.15, issue.3-4, pp.629-640, 2001.
DOI : 10.1006/jfls.2000.0355

X. Amandolese and P. Hémon, Vortex-induced vibration of a square cylinder in wind tunnel, Comptes Rendus M??canique, vol.338, issue.1, pp.12-17, 2010.
DOI : 10.1016/j.crme.2009.12.001

URL : https://hal.archives-ouvertes.fr/hal-01021120

X. Amandolese, S. Michelin, and M. Choquel, Low speed flutter and limit cycle oscillations of a two-degree-of-freedom flat plate in a wind tunnel, Journal of Fluids and Structures, vol.43, pp.244-255, 2013.
DOI : 10.1016/j.jfluidstructs.2013.09.002

URL : https://hal.archives-ouvertes.fr/hal-00996423

J. D. Anderson, A history of aerodynamics, 1999.
DOI : 10.1017/CBO9780511607158

M. Argentina and L. Mahadevan, Fluid-flow-induced flutter of a flag, Proceedings of the National Academy of Sciences, vol.102, issue.6, pp.1829-1834, 2005.
DOI : 10.1073/pnas.0408383102

N. Aubry, On the hidden beauty of the proper orthogonal decomposition, Theoretical and Computational Fluid Dynamics, pp.339-352, 1991.

N. Aubry, R. Guyonnet, and R. Lima, Spatiotemporal analysis of complex signals: Theory and applications, Journal of Statistical Physics, vol.43, issue.2, pp.683-739, 1991.
DOI : 10.1007/BF01048312

B. Audoly and Y. Pomeau, ELASTICITY AND GEOMETRY, 2010.
DOI : 10.1142/9789812792778_0001

L. Auman and B. Wilks, Application of Fabric Ribbons for Drag and Stabilization, 18th AIAA Aerodynamic Decelerator Systems Technology Conference and Seminar, pp.1-9, 2005.
DOI : 10.2514/6.2005-1618

A. Aurégan, Contribution à l'étude des bruits respiratoires, modélisation du ronflement, Thèse de doctorat, 1993.

Y. Aurégan and C. Depollier, SNORING: LINEAR STABILITY ANALYSIS ANDIN-VITROEXPERIMENTS, Journal of Sound and Vibration, vol.188, issue.1, pp.39-54, 1995.
DOI : 10.1006/jsvi.1995.0577

L. Bae, J. Lee, S. Kim, J. Ha, B. Lee et al., Flutter-driven triboelectrification for harvesting wind energy, Nature Communications, vol.13, p.4929, 2014.
DOI : 10.1038/ncomms5929

S. Balibar, Systèmes modèles et universalité en physique statistique, 2011.

T. S. Balint and A. D. Lucey, Instability of a cantilevered flexible plate in viscous channel flow, Journal of Fluids and Structures, vol.20, issue.7, pp.893-912, 2005.
DOI : 10.1016/j.jfluidstructs.2005.05.005

C. Bao, C. Tang, X. Yin, and . Lu, Flutter of finite-Span flexible plates in uniform flow, Chinese Physics Letters, vol.27, p.64601, 2010.

A. Barbacci, J. Diener, P. Hémon, B. Adam, N. Donès et al., A robust videogrametric method for the velocimetry of wind-induced motion in trees, Agricultural and Forest Meteorology, vol.184, pp.220-229, 2014.
DOI : 10.1016/j.agrformet.2013.10.003

URL : https://hal.archives-ouvertes.fr/hal-00915106

G. Bayerl, Les moulins, prémices de la révolution industrielle, Pour la Science, vol.37, pp.92-95, 2003.

B. F. Belidor, Architecture hydraulique, 1739.

M. M. Bernitsas, K. Raghavan, Y. Ben-simon, and E. M. Garcia, VIVACE (Vortex Induced Vibration Aquatic Clean Energy): A New Concept in Generation of Clean and Renewable Energy From Fluid Flow, Journal of Offshore Mechanics and Arctic Engineering, vol.130, issue.4, p.41101, 2008.
DOI : 10.1115/1.2957913

R. D. Blevins, Formulas for Natural Frequency and Mode Shape, Journal of Applied Mechanics, vol.47, issue.2, 1979.
DOI : 10.1115/1.3153712

R. D. Blevins, Flow-induced vibration, 1990.

P. Bompard, Mécanique de la Rupture, 2011.

F. J. Bourrières, L'onde (du 4ème ordre) de fanion, Publications Scientifiques et Techniques du Ministère de l'Air, pp.120-121, 1969.

L. Cao, Practical method for determining the minimum embedding dimension of a scalar time series, Physica D: Nonlinear Phenomena, vol.110, issue.1-2, pp.43-50, 1997.
DOI : 10.1016/S0167-2789(97)00118-8

A. C. Carruthers and A. Filippone, Aerodynamic Drag of Streamers and Flags, Journal of Aircraft, vol.42, issue.4, pp.976-982, 2005.
DOI : 10.2514/1.9754

E. Cerda, L. Mahadevan, and J. M. Pasini, The elements of draping, Proceedings of the National Academy of Sciences, vol.101, issue.7, pp.1806-1810, 2004.
DOI : 10.1073/pnas.0307160101

M. Chen, L. B. Jia, Y. F. Wu, X. Z. Yin, and Y. B. Ma, Bifurcation and chaos of a flag in an inviscid flow, Journal of Fluids and Structures, vol.45, pp.124-137, 2014.
DOI : 10.1016/j.jfluidstructs.2013.11.020

R. Coene, Flutter of slender bodies under axial stress, Applied Scientific Research, vol.72, issue.2, pp.175-187, 1992.
DOI : 10.1007/BF02984177

P. Collet, Statistics of closest return for some non-uniformly hyperbolic systems, Ergodic Theory and Dynamical Systems, vol.21, issue.02, pp.401-420, 2001.
DOI : 10.1017/S0143385701001201

B. S. Connell, Numerical investigation of the flow-body interaction of thin flexible foils and ambient flow, 2006.

B. S. Connell and D. K. Yue, Flapping dynamics of a flag in a uniform stream, Journal of Fluid Mechanics, vol.581, pp.33-67, 2007.
DOI : 10.1017/S0022112007005307

G. D. Crapper, N. Dombrowdki, W. P. Jepson, and G. A. Pyott, A note on the growth of Kelvin-Helmholtz waves on thin liquid sheets, Journal of Fluid Mechanics, vol.329, issue.04, pp.671-672, 1973.
DOI : 10.1088/0508-3443/4/6/302

A. G. Davenport, NOTE ON THE DISTRIBUTION OF THE LARGEST VALUE OF A RANDOM FUNCTION WITH APPLICATION TO GUST LOADING., Proceedings of the Institution of Civil Engineers, vol.28, issue.2, pp.187-196, 1964.
DOI : 10.1680/iicep.1964.10112

D. Diderot and J. L. Alembert, 1772, Encyclopédie, ou Dictionnaire raisonné des sciences, des arts et des métiers, pp.106-107

O. Doaré, Instabilités locales et globales en interaction fluide-structure, 2001.

O. Doaré and E. De-langre, LOCAL AND GLOBAL INSTABILITY OF FLUID-CONVEYING PIPES ON ELASTIC FOUNDATIONS, Journal of Fluids and Structures, vol.16, issue.1, pp.1-14, 2002.
DOI : 10.1006/jfls.2001.0405

O. Doaré, M. Sauzade, and C. Eloy, Flutter of an elastic plate in a channel flow: Confinement and finite-size effects, Journal of Fluids and Structures, vol.27, issue.1, pp.76-88, 2011.
DOI : 10.1016/j.jfluidstructs.2010.09.002

O. Doaré and S. Michelin, Piezoelectric coupling in energy-harvesting fluttering flexible plates: linear stability analysis and conversion efficiency, Journal of Fluids and Structures, vol.27, issue.8, pp.1357-1375, 2011.
DOI : 10.1016/j.jfluidstructs.2011.04.008

J. A. Dunnmon, S. C. Stanton, B. P. Mann, and E. H. Dowell, Power extraction from aeroelastic limit cycle oscillations, Journal of Fluids and Structures, vol.27, issue.8, pp.1182-1198, 2011.
DOI : 10.1016/j.jfluidstructs.2011.02.003

H. E. Edgerton and C. M. Breder, High speed photographs of flying fishes in flight, Zoologica, vol.26, pp.311-314, 1941.

A. Eiffel, Sur la résistance des sphères dans l'air en mouvement. Comptes Rendus de l, Académie des Sciences, vol.155, pp.1597-1599, 1912.

C. Eloy, C. Souilliez, and L. Schouveiler, Flutter of a rectangular plate, Journal of Fluids and Structures, vol.23, issue.6, pp.904-919, 2007.
DOI : 10.1016/j.jfluidstructs.2007.02.002

URL : https://hal.archives-ouvertes.fr/hal-00140325

C. Eloy, R. Lagrange, C. Souilliez, and L. Schouveiler, Aeroelastic instability of cantilevered flexible plates in uniform flow, Journal of Fluid Mechanics, vol.67, pp.97-106, 2008.
DOI : 10.1016/S0889-9746(02)00121-4

URL : https://hal.archives-ouvertes.fr/hal-00326203

C. Eloy, N. Kofman, and L. Schouveiler, The origin of hysteresis in the flag instability, Journal of Fluid Mechanics, vol.691, pp.583-593, 2012.
DOI : 10.1016/S0889-9746(02)00121-4

URL : https://hal.archives-ouvertes.fr/hal-00712267

L. Euler, Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici latissimo sensu accepti, Lausannae & Genevae, 1744.

. Eurocode, Actions sur les structures. Comité Européen de Normalisation, pp.81-82, 2005.

M. L. Facchinetti, E. De-langre, and F. Biolley, Coupling of structure and wake oscillators in vortex-induced vibrations, Journal of Fluids and Structures, vol.19, issue.2, pp.123-140, 2004.
DOI : 10.1016/j.jfluidstructs.2003.12.004

URL : https://hal.archives-ouvertes.fr/hal-01024953

R. A. Fairthorne, Drag of flags, Aeronautical Research Committee, Reports and Memoranda, vol.1345, pp.887-891, 1930.

R. K. Fancett and W. A. Clayden, Subsonic wind tunnel tests on the use of streamers to stabilize the foil bomblet. Royal Armament Research and Development Establishment, 1972.

D. Faranda, V. Lucarini, G. Turchetti, and S. Vaienti, Numerical Convergence of the Block-Maxima Approach to the Generalized Extreme Value Distribution, Journal of Statistical Physics, vol.110, issue.1, pp.1156-1180, 2011.
DOI : 10.1007/s10955-011-0234-7

URL : https://hal.archives-ouvertes.fr/hal-00975709

D. Faranda, V. Lucarini, G. Turchetti, and S. Vaienti, GENERALIZED EXTREME VALUE DISTRIBUTION PARAMETERS AS DYNAMICAL INDICATORS OF STABILITY, International Journal of Bifurcation and Chaos, vol.22, issue.11, p.1250276, 2012.
DOI : 10.1142/S0218127412502768

URL : https://hal.archives-ouvertes.fr/hal-00975712

A. Fargette, S. Neukirch, and A. Antkowiak, Elastocapillary Snapping: Capillarity Induces Snap-Through Instabilities in Small Elastic Beams, Physical Review Letters, vol.112, issue.13, p.137802, 2014.
DOI : 10.1103/PhysRevLett.112.137802

D. J. Farnell, T. David, and D. C. Barton, Coupled states of flapping flags, Journal of Fluids and Structures, vol.19, issue.1, pp.29-36, 2004.
DOI : 10.1016/j.jfluidstructs.2003.10.001

D. J. Farnell, T. David, and D. C. Barton, Numerical simulations of a filament in a flowing soap film, International Journal for Numerical Methods in Fluids, vol.44, issue.3, pp.313-330, 2004.
DOI : 10.1002/fld.640

B. F. Feeny and R. Kappagantu, ON THE PHYSICAL INTERPRETATION OF PROPER ORTHOGONAL MODES IN VIBRATIONS, Journal of Sound and Vibration, vol.211, issue.4, pp.607-616, 1998.
DOI : 10.1006/jsvi.1997.1386

R. Feynman, The Feynman Lectures on Physics, Elasticity, pp.38-39, 1963.

A. D. Fitt and M. P. Pope, The unsteady motion of two-dimensional flags with bending stiffness, Journal of Engineering Mechanics, vol.40, pp.227-248, 2001.

Y. Forterre, D. Richard, and L. Mahadevan, Dynamics of elastic defects in thin plates, 2004.

Y. Forterre, J. Skotheim, J. Dumais, and L. Mahadevan, How the Venus flytrap snaps, Nature, vol.185, issue.7024, pp.421-425, 2005.
DOI : 10.1046/j.1365-313X.2001.01350.x

URL : https://hal.archives-ouvertes.fr/hal-01432204

A. C. Freitas and J. M. Freitas, On the link between dependence and independence in extreme value theory for dynamical systems, Statistics & Probability Letters, vol.78, issue.9, pp.1088-1093, 2008.
DOI : 10.1016/j.spl.2007.11.002

URL : https://hal.archives-ouvertes.fr/hal-00622138

A. C. Freitas, J. M. Freitas, and M. Todd, Hitting time statistics and extreme value theory, Probability Theory and Related Fields, vol.110, issue.2, pp.675-710, 2009.
DOI : 10.1007/s00440-009-0221-y

URL : http://arxiv.org/abs/0804.2887

Y. C. Fung, An introduction to the theory of aeroelasticity, 1993.

G. Galilei, Galilée), 1638, Discorsi e dimostrazioni matematiche, intorno a due nuove scienze

T. Gautama, D. P. Mandic, and M. M. Van-hulle, A differential entropy based method for determining the optmal embedding parameters of a signal, Proceedings ICASSP, 2003.

A. Giacomello and M. Porfiri, Underwater energy harvesting from a heavy flag hosting ionic polymer metal composites, Journal of Applied Physics, vol.109, issue.8, p.84903, 2011.
DOI : 10.1063/1.3569738

S. C. Gibbs, I. Wang, and E. Dowell, Theory and experiment for flutter of a rectangular plate with a fixed leading edge in three-dimensional axial flow, Journal of Fluids and Structures, vol.34, pp.68-83, 2012.
DOI : 10.1016/j.jfluidstructs.2012.06.009

S. C. Gibbs, S. Fichera, A. Zanotti, S. Ricci, and E. H. Dowell, Flow field around the flapping flag, Journal of Fluids and Structures, vol.48, pp.507-513, 2014.
DOI : 10.1016/j.jfluidstructs.2014.02.011

J. Gleick, Chaos : making a new science, 1987.

J. Gleick, La théorie du chaos. (Traduction de : Chaos : making a new science.) Champs Sciences, pp.407-408, 2008.

B. Gnedenko, Sur La Distribution Limite Du Terme Maximum D'Une Serie Aleatoire, The Annals of Mathematics, vol.44, issue.3, pp.423-453, 1943.
DOI : 10.2307/1968974

J. P. Gomes and H. Lienhart, Fluid???structure interaction-induced oscillation of flexible structures in laminar and turbulent flows, Journal of Fluid Mechanics, vol.18, pp.537-572, 2013.
DOI : 10.1016/j.phpro.2010.08.099

R. W. Gregory and M. Païdoussis, Unstable Oscillation of Tubular Cantilevers Conveying Fluid. I. Theory, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.293, issue.1435, pp.512-527, 1966.
DOI : 10.1098/rspa.1966.0187

R. W. Gregory and M. Païdoussis, Unstable Oscillation of Tubular Cantilevers Conveying Fluid. II. Experiments, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.293, issue.1435, pp.528-542, 1966.
DOI : 10.1098/rspa.1966.0188

C. Grouthier, Récupération d'énergie et vibrations induites par vortex de structures flexibles, 2013.

C. Gupta, M. Holland, and M. Nicol, Extreme value theory and return time statistics for dispersing billiard maps and flows, Lozi maps and Lorenz-like maps, Ergodic Theory and Dynamical Systems, vol.31, issue.05, pp.1363-1390, 2011.
DOI : 10.1017/S014338571000057X

H. L. Von-helmholtz, On discontinuous movements of fluids, Philosophical Magazine Series, vol.4, issue.36, pp.337-346, 1868.

P. Hémon and F. Santi, Applications of biorthogonal decompositions in fluid???structure interactions, Journal of Fluids and Structures, vol.17, issue.8, pp.1123-1143, 2003.
DOI : 10.1016/S0889-9746(03)00057-4

P. Hémon, Vibrations des structures couplées avec le vent, 2006.

G. Hoepffner and Y. Naka, Oblique Waves Lift the Flapping Flag, Physical Review Letters, vol.107, issue.19, 2011.
DOI : 10.1103/PhysRevLett.107.194502

URL : https://hal.archives-ouvertes.fr/hal-00656116

S. F. Hoerner, Fluid-dynamic drag, p.25, 1965.

R. Hooke, Lectures de potentia restituva, or of spring explaining the power of springing bodies, pp.1-56, 1678.

R. M. Howell, A. D. Lucey, P. W. Carpenter, and M. W. Pitman, Interaction between a cantilevered-free flexible plate and ideal flow, Journal of Fluids and Structures, vol.25, issue.3, pp.544-566, 2009.
DOI : 10.1016/j.jfluidstructs.2008.12.004

R. M. Howell and A. D. Lucey, Stability of a spring-mounted cantileverd flexible plate in a uniform flow Fluid-structure-sound interactions and control, pp.319-329, 2014.

L. Huang, Flutter of Cantilevered Plates in Axial Flow, Journal of Fluids and Structures, vol.9, issue.2, pp.127-147, 1995.
DOI : 10.1006/jfls.1995.1007

L. Huang and C. Zhang, Modal analysis of cantilever plate flutter, Journal of Fluids and Structures, vol.38, pp.273-289, 2013.
DOI : 10.1016/j.jfluidstructs.2013.01.004

W. X. Huang and H. J. Sung, Three-dimensional simulation of a flapping flag in a uniform flow, Journal of Fluid Mechanics, vol.12, pp.301-336, 2010.
DOI : 10.1006/jfls.1995.1007

G. Huber, Swimming in flatsea, Nature, vol.408, issue.6814, pp.777-778, 2000.
DOI : 10.1038/35048643

L. Jia, F. Li, X. Yin, and X. Yin, Coupling modes between two flapping filaments, Journal of Fluid Mechanics, vol.581, pp.199-220, 2007.
DOI : 10.1017/S0022112007005563

L. Jia and X. Yin, Passive Oscillations of Two Tandem Flexible Filaments in a Flowing Soap Film, Physical Review Letters, vol.100, issue.22, p.228104, 2008.
DOI : 10.1103/PhysRevLett.100.228104

G. Kerschen and J. C. Golinval, PHYSICAL INTERPRETATION OF THE PROPER ORTHOGONAL MODES USING THE SINGULAR VALUE DECOMPOSITION, Journal of Sound and Vibration, vol.249, issue.5, pp.849-865, 2002.
DOI : 10.1006/jsvi.2001.3930

A. Khalak and C. H. Williamson, MOTIONS, FORCES AND MODE TRANSITIONS IN VORTEX-INDUCED VIBRATIONS AT LOW MASS-DAMPING, Journal of Fluids and Structures, vol.13, issue.7-8, pp.813-851, 1999.
DOI : 10.1006/jfls.1999.0236

S. Kim, W. X. Huang, and H. J. Sung, Constructive and destructive interaction modes between two tandem flexible flags in viscous flow, Journal of Fluid Mechanics, vol.611, pp.511-521, 2010.
DOI : 10.1017/CBO9780511550140.007

M. A. Koehl and S. A. Wainwright, Mechanical adaptations of a giant kelp, Limnology and Oceanography, vol.22, issue.6, pp.1067-1071, 1977.
DOI : 10.4319/lo.1977.22.6.1067

M. A. Koehl, How Do Benthic Organisms Withstand Moving Water?, American Zoologist, vol.24, issue.1, pp.57-70, 1984.
DOI : 10.1093/icb/24.1.57

M. A. Koehl, W. K. Silk, H. Liang, and L. Mahadevan, How kelp produce blade shapes suited to different flow regimes: A new wrinkle, Integrative and Comparative Biology, vol.48, issue.6, pp.834-851, 2008.
DOI : 10.1093/icb/icn069

A. Kornecki, E. H. Dowell, and J. O-'brien, On the aeroelastic instability of two-dimensional panels in uniform incompressible flow, Journal of Sound and Vibration, vol.47, issue.2, pp.163-178, 1976.
DOI : 10.1016/0022-460X(76)90715-X

L. D. Landau and E. M. Lifshitz, Theory of elasticity, pp.38-104, 1986.

E. De-langre, Fluides et solides, 2002.

E. De-langre, Frequency lock-in is caused by coupled-mode flutter, Journal of Fluids and Structures, vol.22, issue.6-7, pp.783-791, 2006.
DOI : 10.1016/j.jfluidstructs.2006.04.008

URL : https://hal.archives-ouvertes.fr/hal-01023359

E. De-langre, Effects of Wind on Plants, Annual Review of Fluid Mechanics, vol.40, issue.1, pp.141-168, 2008.
DOI : 10.1146/annurev.fluid.40.111406.102135

URL : https://hal.archives-ouvertes.fr/hal-01022800

M. R. Leadbetter, G. Lindgren, and H. Rootzén, Extremes and related properties of random sequences and processes, 1982.
DOI : 10.1007/978-1-4612-5449-2

C. Lemaitre, P. Hémon, and E. De-langre, Instability of a long ribbon hanging in axial air flow, Journal of Fluids and Structures, vol.20, issue.7, pp.913-925, 2005.
DOI : 10.1016/j.jfluidstructs.2005.04.009

URL : https://hal.archives-ouvertes.fr/hal-01024961

M. J. Lighthill, Note on the swimming of slender fish, Journal of Fluid Mechanics, vol.9, issue.02, pp.305-317, 1960.
DOI : 10.1017/S0022112060001110

H. W. Lilliefors, On the Kolmogorov-Smirnov Test for Normality with Mean and Variance Unknown, Journal of the American Statistical Association, vol.35, issue.318, pp.399-402, 1967.
DOI : 10.1214/aoms/1177728726

H. Lhuissier and E. Villermaux, Soap Films Burst Like Flapping Flags, Physical Review Letters, vol.103, issue.5, p.54501, 2009.
DOI : 10.1103/PhysRevLett.103.054501

URL : https://hal.archives-ouvertes.fr/hal-00426813

V. Lucarini, D. Faranda, G. Turchetti, and S. Vaienti, Extreme value theory for singular measures, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.22, issue.2, p.23135, 2012.
DOI : 10.1063/1.4718935

URL : https://hal.archives-ouvertes.fr/hal-00975713

L. Mahadevan and J. Shaw, The Physics of the familiar, Harvard Magazine, pp.46-52, 2008.

S. Mandre and L. Mahadevan, A generalized theory of viscous and inviscid flutter, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.408, issue.6814, pp.141-156, 2010.
DOI : 10.1038/35048530

P. Manneville, Instabilités, chaos et turbulence, 2004.

A. Martin, Experimental study of drag from a fluttering flag, 2006.

J. Matas and A. Cartellier, Flapping Instability of an Atomized Liquid Jet, ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting: Volume 1, Symposia ??? Parts A, B, and C, 2010.
DOI : 10.1115/FEDSM-ICNMM2010-31259

URL : https://hal.archives-ouvertes.fr/hal-00704304

S. Michelin, L. Smith, S. G. Glover, and B. J. , Vortex shedding model of a flapping flag, Journal of Fluid Mechanics, vol.21, pp.1-10, 2008.
DOI : 10.1103/PhysRevLett.94.094302

S. Michelin, L. Smith, and S. G. , Falling cards and flapping flags: understanding fluid???solid interactions using an unsteady point vortex model, Theoretical and Computational Fluid Dynamics, vol.179, issue.1-4, pp.195-200, 2010.
DOI : 10.1007/s00162-009-0117-6

URL : http://dx.doi.org/10.1007/s00162-009-0117-6

S. Michelin and O. Doaré, Energy harvesting efficiency of piezoelectric flags in axial flows, Journal of Fluid Mechanics, vol.611, pp.489-504, 2013.
DOI : 10.1098/rspb.1971.0085

URL : https://hal.archives-ouvertes.fr/hal-00995146

J. Miles, On the generation of surface waves by shear flows, Journal of Fluid Mechanics, vol.215, issue.02, pp.185-204, 1957.
DOI : 10.1103/PhysRev.91.784

P. M. Moretti and L. V. Divone, Modern Windmills, Scientific American, vol.254, issue.6, pp.88-96, 1986.
DOI : 10.1038/scientificamerican0686-110

P. M. Moretti, Tension in Fluttering Flags, The International Journal of Acoustics and Vibration, vol.8, issue.4, pp.227-230, 2003.
DOI : 10.20855/ijav.2003.8.4148

M. T. Morris-thomas and S. Steen, Experiments on the stability and drag of a flexible sheet under in-plane tension in uniform flow, Journal of Fluids and Structures, vol.25, issue.5, pp.815-830, 2009.
DOI : 10.1016/j.jfluidstructs.2009.02.003

U. K. Müller, PHYSIOLOGY: Fish 'n Flag, Science, vol.302, issue.5650, pp.1511-1512, 2003.
DOI : 10.1126/science.1092367

M. M. Munk, The aerodynamic forces on airship hulls. National Advisory Committee for Aeronautics, Report, vol.184, pp.451-468, 1924.

E. Naudascher and D. Rockwell, Flow-induced vibrations. An engineering guide, 2005.

N. H. Packard, J. P. Crutchfield, J. D. Farmer, and R. S. Shaw, Geometry from a Time Series, Physical Review Letters, vol.45, issue.9, pp.712-716, 1980.
DOI : 10.1103/PhysRevLett.45.712

M. P. Païdoussis, Fluid-structure interactions : slender structures and axial flow, 1998.
DOI : 10.1017/CBO9780511760792

M. P. Païdoussis, Fluid-structure interactions : slender structures and axial flow, 2004.
DOI : 10.1017/CBO9780511760792

T. J. Pedley and J. Hill, Large-amplitude undulatory fish swimming : fluid mechanics coupled to internal mechanics, The Journal of Experimental Biology, vol.202, pp.3431-3438, 1999.

K. Peters, Flatterschwingungen von Überfallstrahlen und Fahnen, 1940.

O. M. Phillips, The dynamics of the upper ocean, 1977.

J. Plateau, Statique expérimentale et théorique des liquides soumis aux seules forces moléculaires, 1873.

A. M. Platoff, Where No Flag Has Gone Before: Political and Technical Aspects of Placing a Flag on the Moon, Raven: A Journal of Vexillology, vol.1, 1993.
DOI : 10.5840/raven199411

B. Podvin, Introduction à la décomposition orthogonale aux valeurs propres, 2001.

H. Poincaré, Sur le problème des trois corps et les équations de la dynamique, Acta Mathematica, vol.13, pp.3-270, 1890.

H. Poincaré, La science et l'hypothèse. Flammarion, pp.171-172, 1902.

L. Prandtl, Essentials of fluid dynamics, pp.77-80, 1952.

C. Py, Couplage entre la dynamique du vent et le mouvement d'un couvert végétal, Thèse de doctorat, 2005.

L. Rayleigh, On The Instability Of Jets, Proceedings of the London Mathematical Society, vol.1, issue.1, pp.4-13, 1878.
DOI : 10.1112/plms/s1-10.1.4

L. Rayleigh, The principle of similitude, Nature, vol.95, pp.66-68, 1915.

L. Ristroph and J. Zhang, Anomalous Hydrodynamic Drafting of Interacting Flapping Flags, Physical Review Letters, vol.101, issue.19, 2008.
DOI : 10.1103/PhysRevLett.101.194502

Y. Rocard, Dynamique générale des vibrations, 1943.

. Roman-d-'alexandre, Folios 49 et 81, Bodleian Library, 1344.

T. Sarpkaya, Fluid forces on oscillating cylnders, Journal of Waterway ASCE, vol.104, pp.275-290, 1978.

T. Sarpkaya, Vortex-Induced Oscillations: A Selective Review, Journal of Applied Mechanics, vol.46, issue.2, pp.241-258, 1979.
DOI : 10.1115/1.3424537

T. Sawada and T. Hisada, Fluid-Structure Interaction Analysis of a Two-Dimensional Flag-in-Wind Problem by the ALE Finite Element Method, JSME International Journal Series A, vol.49, issue.2, pp.170-179, 2006.
DOI : 10.1299/jsmea.49.170

L. Schouveiler and C. Eloy, Coupled flutter of parallel plates, Physics of Fluids, vol.21, issue.8, p.81703, 2009.
DOI : 10.1063/1.3204672

URL : https://hal.archives-ouvertes.fr/hal-00419245

O. Semeraro, G. Bellani, and F. Lundell, Analysis of time-resolved PIV measurements of a confined turbulent jet using POD and Koopman modes, Experiments in Fluids, vol.41, issue.1, pp.1203-1220, 2012.
DOI : 10.1007/s00348-012-1354-9

M. J. Shelley, N. Vandenberghe, and J. Zhang, Heavy Flags Undergo Spontaneous Oscillations in Flowing Water, Physical Review Letters, vol.94, issue.9, p.94302, 2005.
DOI : 10.1103/PhysRevLett.94.094302

URL : https://hal.archives-ouvertes.fr/hal-00014594

M. J. Shelley and J. Zhang, Flapping and Bending Bodies Interacting with Fluid Flows, Annual Review of Fluid Mechanics, vol.43, issue.1, pp.449-465, 2011.
DOI : 10.1146/annurev-fluid-121108-145456

S. Shukla, R. N. Govardhan, and J. H. Arakeri, Flow over a cylinder with a hinged-splitter plate, Journal of Fluids and Structures, vol.25, issue.4, pp.713-720, 2009.
DOI : 10.1016/j.jfluidstructs.2008.11.004

K. Singh, S. Michelin, and E. De-langre, The effect of non-uniform damping on flutter in axial flow and energy-harvesting strategies, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.5, issue.1055, pp.3620-3635, 2012.
DOI : 10.1098/rspb.1971.0085

URL : https://hal.archives-ouvertes.fr/hal-00996526

R. A. Skop and O. M. Griffin, An Heuristic Model for Determining Flow-Induced Vibration of Offshore Structure, Offshore Technology Conference, 1973.
DOI : 10.4043/1843-MS

R. A. Skop and S. Balasubramanian, A NEW TWIST ON AN OLD MODEL FOR VORTEX-EXCITED VIBRATIONS, Journal of Fluids and Structures, vol.11, issue.4, pp.395-412, 1997.
DOI : 10.1006/jfls.1997.0085

A. A. Sonin, A generalization of the ??-theorem and dimensional analysis, Proceedings of the National Academy of Sciences, vol.101, issue.23, pp.8525-8526, 2003.
DOI : 10.1073/pnas.0402931101

B. N. Stone, A. D. Lucey, and R. M. Howell, The fluid-structure interaction of a torsionalspring-mounted beam in air flow, 2013.

F. Takens and R. Mañé, Dynamical systems and turbulence Warwick notes in mathematics, 1981.

S. Taneda, Waving Motions of Flags, Journal of the Physical Society of Japan, vol.24, issue.2, pp.392-401, 1968.
DOI : 10.1143/JPSJ.24.392

D. M. Tang, H. Yamamoto, and E. H. Dowell, Flutter and limit cycle oscillations of two-dimensional panels in three-dimensional axial flow, Journal of Fluids and Structures, vol.17, issue.2, pp.225-242, 2003.
DOI : 10.1016/S0889-9746(02)00121-4

L. Tang, The dynamics of two-dimensional cantileverd flexible plates in axial flow and a new energy harvesting concept, 2007.

L. Tang and M. P. Païdoussis, On the instability and the post-critical behaviour of two-dimensional cantilevered flexible plates in axial flow, Journal of Sound and Vibration, vol.305, issue.1-2, pp.97-115, 2007.
DOI : 10.1016/j.jsv.2007.03.042

L. Tang, M. P. Païdoussis, and J. Jiang, Cantilevered flexible plates in axial flow: Energy transfer and the concept of flutter-mill, Journal of Sound and Vibration, vol.326, issue.1-2, pp.263-276, 2009.
DOI : 10.1016/j.jsv.2009.04.041

G. W. Taylor, J. R. Burns, S. M. Kammann, W. B. Power, and T. R. Welsh, The Energy Harvesting Eel: a small subsurface ocean/river power generator, IEEE Journal of Oceanic Engineering, vol.26, issue.4, pp.539-547, 2001.
DOI : 10.1109/48.972090

D. Thoma, Warum flattert die Fahne ? Mitteilungen des Hydraulischen Instituts der Technischen Hochschule Münschen, pp.30-34, 1939.

D. Thoma, Das schlenkernde Seil, ZAMM - Zeitschrift f??r Angewandte Mathematik und Mechanik, vol.19, issue.5, pp.320-321, 1939.
DOI : 10.1002/zamm.19390190508

D. A. Thompson and Y. , On Growth and Form, p.1027, 1942.

S. P. Timoshenko and J. M. Gere, Theory of elastic stability, 1963.

C. Touzé, S. Bilbao, and O. Cadot, Transition scenario to turbulence in thin vibrating plates, Journal of Sound and Vibration, vol.331, issue.2, pp.412-433, 2012.
DOI : 10.1016/j.jsv.2011.09.016

L. N. Trefethen and D. Bau, Numerical linear algebra, 1997.
DOI : 10.1137/1.9780898719574

G. S. Triantafyllou, Physical condition for absolute instability in inviscid hydroelastic coupling, Physics of Fluids A: Fluid Dynamics, vol.4, issue.3, pp.544-552, 1992.
DOI : 10.1063/1.858326

M. Uno, Fluttering of flexible bodies, Journal of the Textile Machinery Society of Japan, vol.26, pp.73-79, 1973.

H. Vandeparre, M. Piñeirua, F. Brau, B. Roman, J. Bico et al., Wrinkling Hierarchy in Constrained Thin Sheets from Suspended Graphene to Curtains, Physical Review Letters, vol.106, issue.22, p.224301, 2011.
DOI : 10.1103/PhysRevLett.106.224301

URL : https://hal.archives-ouvertes.fr/hal-00549423

E. Villermaux and C. Clanet, Life of a flapping liquid sheet, Journal of Fluid Mechanics, vol.462, pp.341-363, 2002.
DOI : 10.1017/S0022112002008376

Y. Watanabe, S. Suzuki, M. Sugihara, and Y. Sueoka, AN EXPERIMENTAL STUDY OF PAPER FLUTTER, Journal of Fluids and Structures, vol.16, issue.4, pp.529-542, 2002.
DOI : 10.1006/jfls.2001.0435

Y. Watanabe, K. Isogai, S. Suzuki, and M. Sugihara, A THEORETICAL STUDY OF PAPER FLUTTER, Journal of Fluids and Structures, vol.16, issue.4, pp.543-560, 2002.
DOI : 10.1006/jfls.2001.0436

V. F. Weisskopf, The Significance of Science, Science, vol.176, issue.4031, pp.138-146, 1972.
DOI : 10.1126/science.176.4031.138

V. F. Weisskopf, Of Atoms, Mountains, and Stars: A Study in Qualitative Physics, Science, vol.187, issue.4177, 1975.
DOI : 10.1126/science.187.4177.605

W. N. Wheeler, Effect of boundary layer transport on the fixation of carbon by the giant kelp Macrocystis pyrifera, Marine Biology, vol.56, issue.2, pp.103-110, 1980.
DOI : 10.1007/BF00397128

A. Wilk and M. Skuta, Laboratory tests of the aerodynamic drag coefficient of the flag as a body with low stiffness, Task Quarterly, vol.13, pp.5-14, 2009.

C. H. Williamson and R. Govardhan, VORTEX-INDUCED VIBRATIONS, Annual Review of Fluid Mechanics, vol.36, issue.1, pp.413-455, 2004.
DOI : 10.1146/annurev.fluid.36.050802.122128

URL : https://hal.archives-ouvertes.fr/hal-00091691

A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, Determining Lyapunov exponents from a time series, Physica D: Nonlinear Phenomena, vol.16, issue.3, pp.285-317, 1985.
DOI : 10.1016/0167-2789(85)90011-9

Y. Xia, Récupération d'énergie par drapeau piézoélectrique, 2012.

Y. Xia, S. Michelin, and O. Doaré, Inductive effects on energy harvesting piezoelectric flag. 21 ème Congrès Français de Mécanique, pp.319-329, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01136605

Y. Yadykin, V. Tenetov, and D. Levin, THE FLOW-INDUCED VIBRATION OF A FLEXIBLE STRIP HANGING VERTICALLY IN A PARALLEL FLOW PART 1: TEMPORAL AEROELASTIC INSTABILITY, Journal of Fluids and Structures, vol.15, issue.8, pp.1167-1185, 2001.
DOI : 10.1006/jfls.2001.0400

N. Yamaguchi, K. Yokota, and Y. Tsujimoto, Flutter Limits and Behaviors of a Flexible Thin Sheet in High-Speed Flow??? I: Analytical Method for Prediction of the Sheet Behavior, Journal of Fluids Engineering, vol.122, issue.1, pp.65-73, 2000.
DOI : 10.1115/1.483242

N. Yamaguchi, T. Sekiguchi, K. Yokota, and Y. Tsujimoto, Flutter Limits and Behavior of a Flexible Thin Sheet in High-Speed Flow??? II: Experimental Results and Predicted Behaviors for Low Mass Ratios, Journal of Fluids Engineering, vol.122, issue.1, pp.74-83, 2000.
DOI : 10.1115/1.483228

T. Young, 1845, A course of lectures on natural philosophy and the mechanical arts

Y. T. Yu, Virtual Masses of Rectangular Plates and Parallelepipeds in Water, Journal of Applied Physics, vol.16, issue.11, pp.724-729, 1945.
DOI : 10.1063/1.1707527

Z. Yu, Y. Wang, and X. Shao, Numerical simulations of the flapping of a three-dimensional flexible plate in uniform flow, Journal of Sound and Vibration, vol.331, issue.20, pp.4448-4463, 2012.
DOI : 10.1016/j.jsv.2012.05.009

J. Zhang, S. Childress, A. Libchaber, and M. Shelley, Flexible filaments in a flowing soap film as a model for one-dimensional flags in a two dimensional wind, Nature, vol.408, issue.6814, pp.835-839, 2000.
DOI : 10.1038/35048530

C. Zhang, N. Liu, and L. Huang, Effect of three-dimensionality on the flutter threshold of a cantilever plate, The 21st International Congress on Sound and Vibration, 2014.

W. Zhao, M. P. Païdoussis, L. Tang, M. Liu, and J. Jiang, Theoretical and experimental investigations of the dynamics of cantilevered flexible plates subjected to axial flow, Journal of Sound and Vibration, vol.331, issue.3, pp.575-587, 2012.
DOI : 10.1016/j.jsv.2011.08.014

L. Zhu and C. S. Peskin, Simulation of a Flapping Flexible Filament in a Flowing Soap Film by the Immersed Boundary Method, Journal of Computational Physics, vol.179, issue.2, pp.452-468, 2002.
DOI : 10.1006/jcph.2002.7066

L. Zhu and C. S. Peskin, Interaction of two flapping filaments in a flowing soap film, Physics of Fluids, vol.15, issue.7, pp.1954-1960, 2003.
DOI : 10.1063/1.1582476

L. Zhu, Interaction of two tandem deformable bodies in a viscous incompressible flow, Journal of Fluid Mechanics, vol.338, pp.455-475, 2009.
DOI : 10.1006/jcph.2002.6993

F. Zshokke, Der Flug der Tiere, 1919.