Nonlinear Sciences – Chaotic Dynamics
Scientific paper
Jan 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002phrve..65a6411f&link_type=abstract
Physical Review E, vol. 65, Issue 1, id. 016411
Nonlinear Sciences
Chaotic Dynamics
7
Fluctuation And Chaos Phenomena, Chaotic Dynamics, Numerical Simulations Of Chaotic Systems, Self-Organized Systems
Scientific paper
Wave-particle interaction is a ubiquitous physical mechanism exhibiting locality in velocity space. A single-wave Hamiltonian provides a rich model by which to study the self-consistent interaction between one electrostatic wave and N quasiresonant particles. For the simplest nonintegrable Hamiltonian coupling two particles to one wave, we analytically derive the particle velocity borders separating quasi-integrable motions from chaotic ones. These estimates are fully retrieved through computation of the largest Lyapunov exponent. For the large-N particle self-consistent case, we numerically investigate the localization of stochasticity in velocity space and test a qualitative estimate of the borders of chaos.
Doveil Fabrice
Firpo Marie-Christine
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