物理学报2009，Vol.58Issue(11)：7514-7524,11.
推广恒Lyapunov指数谱混沌系统及其演变研究
An extension system with constant Lyapunov exponent spectrum and its evolvement
摘要
Abstract
By introducing linear terms and constant terms in dynamic equations, the extension system with constant Lyapunov exponent spectrum is proposed based on the improved constant-Lyapunov-exponent-spectrum system. Firstly, the dynamical behaviour of the extension system is investigated and expounded by simulation of Lyapunov exponent spectrum, bifurcation diagram and numerical analysis on amplitude evolvement of state variables. Secondly, a class of subsystems with the same properties but different phase trajectories is obtained through different combinations of linear terms from the extension system. The dynamical characteristics including equilibrium, eigenvalue and Lyapunov exponents are analyzed in detail simultaneously. Finally, it is pointed out that the chaotic system will have a tremendous application prospect in chaotic radar, secure communications and other information processing systems.关键词
推广混沌系统/Lyapunov指数谱/演变/子系统Key words
extension chaotic system/Lyapunov exponent spectrum/evolvement/subsystem分类
数理科学引用本文复制引用
李春彪,王翰康..推广恒Lyapunov指数谱混沌系统及其演变研究[J].物理学报,2009,58(11):7514-7524,11.基金项目
江苏省"青蓝工程"资助的课题.Project supported by the Qing Lan Project of Jiangsu Province. （）
