R. J. Goldston and P. H. Rutherford, Introduction to plasma physics, 1995.

M. Shimada, Chapter 1: Overview and summary, Nuclear Fusion, vol.47, issue.6, pp.1-17, 2007.
DOI : 10.1088/0029-5515/47/6/S01

F. Wagner, Regime of Improved Confinement and High Beta in Neutral-Beam-Heated Divertor Discharges of the ASDEX Tokamak, Physical Review Letters, vol.49, issue.19, p.1408, 1982.
DOI : 10.1103/PhysRevLett.49.1408

C. Pérez-von-thun, MHD analysis of edge instabilities in the JET tokamak, 2004.

H. Zohm and P. Phys, Edge localized modes (ELMs), Plasma Physics and Controlled Fusion, vol.38, issue.2, p.105, 1996.
DOI : 10.1088/0741-3335/38/2/001

J. W. Connor and P. Phys, Edge-localized modes - physics and theory, Plasma Physics and Controlled Fusion, vol.40, issue.5, p.531, 1998.
DOI : 10.1088/0741-3335/40/5/002

W. Suttrop and P. Phys, The physics of large and small edge localized modes, Plasma Physics and Controlled Fusion, vol.42, issue.5A, p.1, 2000.
DOI : 10.1088/0741-3335/42/5A/301

J. P. Freidberg, Ideal Magnetohydrodynamics, 1987.
DOI : 10.1007/978-1-4757-0836-3

M. Bécoulet, Edge localized mode physics and operational aspects in tokamaks, Plasma Physics and Controlled Fusion, vol.45, issue.12A, pp.93-113, 2003.
DOI : 10.1088/0741-3335/45/12A/007

G. T. Huysmans and P. Phys, ELMs: MHD instabilities at the transport barrier, Plasma Physics and Controlled Fusion, vol.47, issue.12B, pp.165-178, 2005.
DOI : 10.1088/0741-3335/47/12B/S13

P. B. Snyder, ELMs and constraints on the H-mode pedestal: peeling???ballooning stability calculation and comparison with experiment, Nuclear Fusion, vol.44, issue.2, p.320, 2004.
DOI : 10.1088/0029-5515/44/2/014

A. Loarte, Characteristics of type I ELM energy and particle losses in existing devices and their extrapolation to ITER, Plasma Physics and Controlled Fusion, vol.45, issue.9, p.1549, 2003.
DOI : 10.1088/0741-3335/45/9/302

G. Federici, Assessment of erosion of the ITER divertor targets during type I ELMs, Plasma Physics and Controlled Fusion, vol.45, issue.9, p.1523, 2003.
DOI : 10.1088/0741-3335/45/9/301

K. Kamiya, Edge localized modes: recent experimental findings and related issues, Plasma Physics and Controlled Fusion, vol.49, issue.7, pp.43-62, 2007.
DOI : 10.1088/0741-3335/49/7/S03

P. T. Lang, ELM frequency control by continuous small pellet injection in ASDEX Upgrade, Nuclear Fusion, vol.43, issue.10, p.1110, 2003.
DOI : 10.1088/0029-5515/43/10/012

A. B. Rechester and M. N. Rosenbluth, Electron Heat Transport in a Tokamak with Destroyed Magnetic Surfaces, Physical Review Letters, vol.40, issue.1, p.38, 1978.
DOI : 10.1103/PhysRevLett.40.38

T. E. Evans, Modeling of stochastic magnetic flux loss from the edge of a poloidally diverted tokamak, Physics of Plasmas, vol.9, issue.12, p.4957, 2002.
DOI : 10.1063/1.1521125

T. E. Evans, Suppression of Large Edge-Localized Modes in High-Confinement DIII-D Plasmas with a Stochastic Magnetic Boundary, Physical Review Letters, vol.92, issue.23, p.235003, 2004.
DOI : 10.1103/PhysRevLett.92.235003

R. A. Moyer, Edge localized mode control with an edge resonant magnetic perturbation, Physics of Plasmas, vol.12, issue.5, p.56119, 2005.
DOI : 10.1063/1.1888705

T. E. Evans, Suppression of large edge localized modes with edge resonant magnetic fields in high confinement DIII-D plasmas, Nuclear Fusion, vol.45, issue.7, pp.595-607, 2005.
DOI : 10.1088/0029-5515/45/7/007

K. H. Burrell, = 3 magnetic perturbations, Plasma Physics and Controlled Fusion, vol.47, issue.12B, pp.37-52, 2005.
DOI : 10.1088/0741-3335/47/12B/S04

T. E. Evans, Edge stability and transport control with resonant magnetic perturbations in collisionless tokamak plasmas, Nature Physics, vol.5, issue.6, p.419, 2006.
DOI : 10.1038/nphys312

J. C. Vallet, Stabilization of tokamak Ohmic discharges at the density limit by means of the ergodic divertor, Physical Review Letters, vol.67, issue.19, p.2662, 1991.
DOI : 10.1103/PhysRevLett.67.2662

I. Joseph, Calculation of the thermal footprint of resonant magnetic perturbations in DIII-D

P. C. Stangeby, The plasma boundary of magnetic fusion devices " (Plasma Physics Series, Institute of Physics Publishing, 2000.

G. T. Huysmans, J. P. Goedbloed, and W. Kerner, Isoparametric Bicubic Hermite Elements for Solution of the Grad-Shafranov Equation, Proc. CP90 Conf. on Comp. Phys. Proc, p.371, 1991.
DOI : 10.1142/S0129183191000512

A. J. Lichtenberg and M. A. Lieberman, Regular and Stochastic Motion, Applied Mathematical Sciences, vol.38, p.232, 1983.
DOI : 10.1007/978-1-4757-4257-2

C. Pérez-von-thun, MHD analysis of edge instabilities in the JET tokamak, p.69, 2004.

G. Agarici, Design of a resonant magnetic perturbation ELM suppression system for JET, Fusion Engineering and Design, vol.82, issue.5-14
DOI : 10.1016/j.fusengdes.2007.01.017

P. Cahyna, Resonant magnetic perturbations and edge ergodization on the COMPASS tokamak, Plasma Physics Reports, vol.34, issue.9
DOI : 10.1134/S1063780X08090080

E. Nardon, On the possibility of producing Resonant Magnetic Perturbations (RMPs) at the edge with the Error Field Correction Coils (EFCCs) without triggering core instabilities, 2006.

Y. Liang, Mitigation of type-I Edge Localized Modes in H-mode Plasmas by Application of an n = 1 Perturbation Field on JET, JET science meeting, pp.2006-2017, 2006.

T. E. Evans, RMP ELM suppression in DIII-D plasmas with ITER similar shapes and collisionalities, Nuclear Fusion, vol.48, issue.2
DOI : 10.1088/0029-5515/48/2/024002

L. L. Lao, H. St, R. D. John, and . Stambaugh, Reconstruction of current profile parameters and plasma shapes in tokamaks, Nuclear Fusion, vol.25, issue.11, p.1611, 1985.
DOI : 10.1088/0029-5515/25/11/007

S. S. Abdullaev and K. H. Finken, Widening the magnetic footprints in a poloidal divertor tokamak: a proposal, Nuclear Fusion, vol.38, issue.4, p.531, 1998.
DOI : 10.1088/0029-5515/38/4/305

M. W. Jakubowski, Change of the Magnetic-Field Topology by an Ergodic Divertor and the Effect on the Plasma Structure and Transport, Physical Review Letters, vol.96, issue.3, p.35004, 2006.
DOI : 10.1103/PhysRevLett.96.035004

A. Kirk, Evolution of Filament Structures during Edge-Localized Modes in the MAST Tokamak, Physical Review Letters, vol.96, issue.18, p.185001, 2006.
DOI : 10.1103/PhysRevLett.96.185001

M. Bécoulet, Edge localized modes control by stochastic magnetic fields, Nuclear Fusion, vol.45, issue.11, p.1284, 2005.
DOI : 10.1088/0029-5515/45/11/009

M. Bécoulet and E. Nardon, First Intermediate Report on the Task: CEFDA05- 1336 TW5-TPO-ERGITER: Resonant Magnetic Perturbations (RMPs) for ELMs suppression in ITER. Design studies of RMPs coils for ITER

M. Bécoulet and E. Nardon, Second Intermediate Report on the Task: CEFDA05- 1336 TW5-TPO-ERGITER: Resonant Magnetic Perturbations (RMPs) for ELMs suppression in ITER. Design studies of RMPs coils for ITER

M. Bécoulet and E. Nardon, Final Report on the Task: CEFDA05-1336 TW5- TPO-ERGITER: Resonant Magnetic Perturbations (RMPs) for ELMs suppression in ITER. Design studies of RMPs coils for ITER

M. Bécoulet and E. Nardon, Numerical study of the resonant magnetic perturbations for Type I edge localized modes control in ITER, Nuclear Fusion, vol.48, issue.2
DOI : 10.1088/0029-5515/48/2/024003

M. J. Schaffer, submitted to Nucl. Fusion [71] ITER physics basis, Nucl. Fusion, vol.39, p.2175, 1999.

A. Polevoi, ITER Confinement and Stability Modelling, J. Plasma Fusion Res. SERIES, vol.5, pp.82-87, 2002.

T. C. Hender, Chapter 3: MHD stability, operational limits and disruptions, Nuclear Fusion, vol.47, issue.6, pp.128-202, 2007.
DOI : 10.1088/0029-5515/47/6/S03

R. Fitzpatrick, Interaction of tearing modes with external structures in cylindrical geometry (plasma), Nuclear Fusion, vol.33, issue.7, p.1049, 1993.
DOI : 10.1088/0029-5515/33/7/I08

K. C. Shaing, Magnetohydrodynamic-activity-induced toroidal momentum dissipation in collisionless regimes in tokamaks, Physics of Plasmas, vol.10, issue.5, p.1443, 2003.
DOI : 10.1063/1.1567285

E. Lazzaro, Error field locked modes thresholds in rotating plasmas, anomalous braking and spin-up, Physics of Plasmas, vol.9, issue.9, p.3906, 2002.
DOI : 10.1063/1.1499495

W. Zhu, Observation of Plasma Toroidal-Momentum Dissipation by Neoclassical Toroidal Viscosity, Physical Review Letters, vol.96, issue.22, p.225002, 2006.
DOI : 10.1103/PhysRevLett.96.225002

G. T. Huysmans and P. Phys, External kink (peeling) modes in x-point geometry, Plasma Physics and Controlled Fusion, vol.47, issue.12, p.2107, 2005.
DOI : 10.1088/0741-3335/47/12/003

G. Huysmans and O. Czarny, MHD stability in X-point geometry: simulation of ELMs, Nuclear Fusion, vol.47, issue.7, pp.659-666, 1993.
DOI : 10.1088/0029-5515/47/7/016

H. R. Strauss, Nonlinear, three-dimensional magnetohydrodynamics of noncircular tokamaks, Physics of Fluids, vol.19, issue.1, p.134, 1976.
DOI : 10.1063/1.861310

H. R. Strauss, Dynamics of high ?? tokamaks, Physics of Fluids, vol.20, issue.8, p.1354, 1977.
DOI : 10.1063/1.862018

R. Izzo, Effects of toroidicity on resistive tearing modes, Physics of Fluids, vol.26, issue.8, p.2240, 1983.
DOI : 10.1063/1.864379

S. Briguglio, Hybrid magnetohydrodynamic-particle simulation of linear and nonlinear evolution of Alfv??n modes in tokamaks, Physics of Plasmas, vol.5, issue.9, p.3287, 1998.
DOI : 10.1063/1.872997

S. E. Kruger, Generalized reduced magnetohydrodynamic equations, Physics of Plasmas, vol.5, issue.12, p.4169, 1998.
DOI : 10.1063/1.873152

E. Nardon, Magnetohydrodynamics modelling of H-mode plasma response to external resonant magnetic perturbations, Physics of Plasmas, vol.14, issue.9, p.92501, 2007.
DOI : 10.1063/1.2759889