M. Albert, X. Tao, and J. Bortnik, Aspects of nonlinear wave-particle interactions, " in Dynamics of the Earth's Radiation Belts and Inner Magnetosphere, 2013.

V. Artemyev, A. A. Vasiliev, D. Mourenas, O. Agapitov, and V. Krasnoselskikh, Nonlinear electron acceleration by oblique whistler waves: Landau resonance vs. cyclotron resonance, Physics of Plasmas, vol.20, issue.12, p.122901, 2013.
DOI : 10.1063/1.4836595
URL : https://hal.archives-ouvertes.fr/insu-01256149

V. Artemyev, A. A. Vasiliev, D. Mourenas, O. Agapitov, V. Krasnoselskikh et al., Fast transport of resonant electrons in phase space due to nonlinear trapping by whistler waves, Geophysical Research Letters, vol.38, issue.6149, pp.5727-573310, 2014.
DOI : 10.1029/2011GL048671
URL : https://hal.archives-ouvertes.fr/insu-01171239

F. Bell, The nonlinear gyroresonance interaction between energetic electrons and coherent VLF waves propagating at an arbitrary angle with respect to the Earth's magnetic field, Journal of Geophysical Research, vol.22, issue.7, pp.905-91810, 1984.
DOI : 10.1029/JA089iA02p00905

F. Bell, The wave magnetic field amplitude threshold for nonlinear trapping of energetic gyroresonant and Landau resonant electrons by nonducted VLF waves in the magnetosphere, Journal of Geophysical Research, vol.22, issue.10, pp.4365-437910, 1986.
DOI : 10.1029/JA091iA04p04365

T. F. Bell and U. S. Inan, Transient nonlinear pitch angle scattering of energetic electrons by coherent VLF wave packets in the magnetosphere, Journal of Geophysical Research, vol.22, issue.A11, pp.9047-9063, 1981.
DOI : 10.1029/JA086iA11p09047

D. Dolgopyat, Repulsion from resonances Memoires, Nucl. Fusion, vol.128, issue.5, pp.1049-1058, 1962.
DOI : 10.24033/msmf.439

K. B. Dysthe, Some studies of triggered whistler emissions, Journal of Geophysical Research, vol.8, issue.28, pp.6915-6931, 1971.
DOI : 10.1029/JA076i028p06915

C. F. Kennel and F. Engelmann, Velocity Space Diffusion from Weak Plasma Turbulence in a Magnetic Field, Physics of Fluids, vol.9, issue.12, pp.2377-2388, 1966.
DOI : 10.1063/1.1761629

C. F. Kennel and H. E. Petschek, Limit on stably trapped particle fluxes, Journal of Geophysical Research, vol.67, issue.1, pp.1-2810, 1966.
DOI : 10.1029/JZ071i001p00001

V. Khotyaintsev, C. M. Cully, A. Vaivads, M. Andr, and C. J. Owen, Plasma Jet Braking: Energy Dissipation and Nonadiabatic Electrons, Physical Review Letters, vol.106, issue.16, p.165001, 2011.
DOI : 10.1103/PhysRevLett.106.165001

A. S. Krafft, V. V. Volokitin, and . Krasnoselskikh, INTERACTION OF ENERGETIC PARTICLES WITH WAVES IN STRONGLY INHOMOGENEOUS SOLAR WIND PLASMAS, The Astrophysical Journal, vol.778, issue.2, p.111, 2013.
DOI : 10.1088/0004-637X/778/2/111

A. V. Mourenas, O. V. Artemyev, V. Agapitov, and . Krasnoselskikh, Consequences of geomagnetic activity on energization and loss of radiation belt electrons by oblique chorus waves, Journal of Geophysical Research: Space Physics, vol.118, issue.6, pp.2775-279610, 2014.
DOI : 10.1029/2012JA018179
URL : https://hal.archives-ouvertes.fr/insu-01282024

I. Neishtadt, Hamiltonian Systems with Three or More Degrees of Freedom, NATO ASI Series, pp.193-213, 1999.

I. Neishtadt and A. A. Vasiliev, Destruction of adiabatic invariance at resonances in slow???fast Hamiltonian systems, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.561, issue.2, pp.158-165, 2006.
DOI : 10.1016/j.nima.2006.01.008

D. Nunn, Wave-particle interactions in electrostatic waves in an inhomogeneous medium, Journal of Plasma Physics, vol.5, issue.02, p.291, 1971.
DOI : 10.1017/S0022112061001074

H. Omura, D. Matsumoto, M. J. Nunn, and . Rycroft, A review of observational, theoretical and numerical studies of VLF triggered emissions, Journal of Atmospheric and Terrestrial Physics, vol.53, issue.5, pp.351-368, 1991.
DOI : 10.1016/0021-9169(91)90031-2

A. M. Osmane and . Hamza, Dynamical-systems approach to relativistic nonlinear wave-particle interaction in collisionless plasmas, Physical Review E, vol.85, issue.5, p.56410, 2012.
DOI : 10.1103/PhysRevE.85.056410

A. M. Osmane and . Hamza, Relativistic surfatron process for Landau resonant electrons in radiation belts, Nonlinear Processes in Geophysics, vol.21, issue.1, pp.115-125, 2014.
DOI : 10.5194/npg-21-115-2014

V. Panov, A. V. Artemyev, W. Baumjohann, R. Nakamura, and V. Angelopoulos, Transient electron precipitation during oscillatory BBF braking: THEMIS observations and theoretical estimates, Journal of Geophysical Research: Space Physics, vol.107, issue.16, pp.3065-307650203, 2013.
DOI : 10.1029/2001JA000260
URL : https://hal.archives-ouvertes.fr/insu-01179316

B. W. Sheeley, M. B. Moldwin, H. K. Rassoul, and R. R. Anderson, An empirical plasmasphere and trough density model: CRRES observations, Journal of Geophysical Research: Space Physics, vol.97, issue.A11, pp.25631-2564210, 2001.
DOI : 10.1029/2000JA000286

Y. Y. Shprits, D. A. Subbotin, N. P. Meredith, and S. R. Elkington, Review of modeling of losses and sources of relativistic electrons in the outer radiation belt II: Local acceleration and loss, Journal of Atmospheric and Solar-Terrestrial Physics, vol.70, issue.14, pp.1694-1713, 2008.
DOI : 10.1016/j.jastp.2008.06.014

X. Tao and J. Bortnik, Nonlinear interactions between relativistic radiation belt electrons and oblique whistler mode waves, Nonlinear Processes in Geophysics, vol.17, issue.5, pp.599-604, 2010.
DOI : 10.5194/npg-17-599-2010

. Lett, 39, L06102, doi:10, 1029.

V. Y. Trakhtengerts, A. G. Demekhov, E. E. Titova, B. V. Kozelov, O. Santolik et al., Interpretation of Cluster data on chorus emissions using the backward wave oscillator model, Physics of Plasmas, vol.11, issue.4, pp.1345-1351, 2004.
DOI : 10.1063/1.1667495

V. Y. Trakhtengerts and M. J. Rycroft, Whistler and Alfv en Mode Cyclotron Masers in Space, 2008.

B. T. Tsurutani, G. S. Lakhina, and O. P. Verkhoglyadova, Energetic electron (>10???keV) microburst precipitation, ~5-15???s X-ray pulsations, chorus, and wave-particle interactions: A review, Journal of Geophysical Research: Space Physics, vol.103, issue.6, pp.2296-231210, 2013.
DOI : 10.1029/2009JA014809

P. Veltri and G. Zimbardo, Electron - whistler interaction at the Earth's bow shock: 2. Electron pitch angle diffusion, Journal of Geophysical Research: Space Physics, vol.37, issue.14, pp.13335-1334610, 1993.
DOI : 10.1029/93JA01144

L. B. Wilson, A. Koval, A. Szabo, A. Breneman, C. A. Cattell et al., Electromagnetic waves and electron anisotropies downstream of supercritical interplanetary shocks, Journal of Geophysical Research: Space Physics, vol.103, issue.6, pp.5-1610, 2013.
DOI : 10.1029/97JA02519

Y. Zhang, H. Matsumoto, H. Kojima, and Y. Omura, Extremely intense whistler mode waves near the bow shock: Geotail observations, Journal of Geophysical Research: Space Physics, vol.103, issue.A1, pp.449-46210, 1999.
DOI : 10.1029/1998JA900049