Multiple island chains in wave-particle interactions

17th Brazilian Colloquium on Orbital Dynamics

De Sousa, M.C.^1 ; Caldas, I.L.^1 ; De Almeida, A. M. Ozorio^2 ; Rizzato, F.B.^3 ; Pakter, R.^3

Instituto de Física, Universidade de São Paulo, São Paulo, Brazil^1

Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Brazil^2

Instituto de Física, Universidade Federal Do Rio Grande Do sul, Porto Alegre, Brazil^3

关键词: Infinite numbers;    Island chains;    Resonant perturbation;    Wave numbers;    Wave period;    Wave-particle interactions;    Winding number;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/641/1/012003/pdf
DOI  :  10.1088/1742-6596/641/1/012003

来源: IOP

【 摘 要 】

We analyze the isochronous island chains that appear in the Poincaré sections of near integrable twist systems. When the system presents just one resonant perturbation with a winding number, the number of chains is constant and it is completely determined by the perturbation. However, for systems that are perturbed by an infinite number of resonant perturbations with the same winding number, the number of isochronous chains depends on the superposition of the perturbations and it is a function of the parameters. Considering a system that describes wave-particle interaction, we show that the number of island chains increases without limit when the wave period or wave number are increased.