李雅普诺夫指数
混乱的
分叉
相图
参数统计
瑞利散射
数学
混沌控制
物理
统计物理学
经典力学
数学分析
混沌同步
非线性系统
控制理论(社会学)
计算机科学
量子力学
统计
人工智能
控制(管理)
作者
C. H. Miwadinou,A. V. Monwanou,A. A. Koukpémèdji,Y. J. F. Kpomahou,J. B. Chabi Orou
标识
DOI:10.1142/s0218127418300057
摘要
This paper addresses the issue of a mixed Rayleigh–Liénard oscillator with external and parametric periodic-excitations. The Melnikov method is utilized to analytically determine the domain boundaries where horseshoe chaos appears. Routes to chaos are investigated through bifurcation structures, Lyapunov exponents, phase portraits and Poincaré sections. The effects of Rayleigh and Liénard parameters are analyzed. Results of analytical investigations are validated and complemented by numerical simulations.
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