应用数学和力学2011，Vol.32Issue(1)：1-10,10.DOI:10.3879/j.issn.1000-0887.2011.01.001
无小参数系统的混沌与亚谐共振
Chaos and Sub-Harmonic Resonance of Nonlinear System Without Small Parameters
摘要
Abstract
Melnikov method was especially important to detect the presence of transverse homoclinic orbits and occurrence of homoclinic bifurcations. Unfortunately traditional Melnikov methods strongly depend on small parameter, which could not exist in most of the practice physical systems. Those methods were limited in dealing with the system with strongly nonlinear. A procedure to study the chaos and sub-harmonic resonance of strongly nonlinear practice systems by employing homotopy method which was used to extend Melnikov functions to strongly nonlinear systems was presented. Applied to a given example, the procedure shows the efficiencies in the comparison of the theoretical results and numerical simulation.关键词
同伦/Melnikov函数/混沌/亚谐共振分类
数理科学引用本文复制引用
刘延彬,陈予恕,曹庆杰..无小参数系统的混沌与亚谐共振[J].应用数学和力学,2011,32(1):1-10,10.基金项目
国家自然科学基金重点资助项目(10632040) （10632040）
