摘要
对带电粒子在电磁波驻波中的运动作为一个不可积哈密顿体系的动力学问题进行了研究.在庞加勒映射截面上考察了稳定周期岛、KAM 环及混沌区随驻波场强的变化.对不同场强下随机轨道的李雅普诺夫指数和柯尔莫哥罗夫熵进行了数值计算.应用哈密顿变分原理对表征定态的不动点岛被混沌海淹没的临界参数进行了解析确定.
The motion of charged particles in electromagnetic standing waves is dis-
cussed as a dynamic problem of nonintegrable Hamiltonian system.The changs
of stable periodic islands,KAM tori and chaotic regions with field strength
of standing wave are observed on Poincarè surface of section.Liapunov expo-
nents and Kolmogorov entropy of stochastic orbits for different field strength
are calculated numerically.The critical parameters where a fixed point island
characterizing stationary state is submerged in chaotic sea is determined analy-
tically by Hamiltonian variational principle.
基金
国家自然科学基金资助课题
关键词
带电粒子
电磁波
随机运动
驻波
KAM tori
stochastic orbits
Kolmogorov entropy
splitting of periodic trajectory
Hamiltonian variational principle.
