A new procedure for exploring chaotic attractors in nonlinear dynamical systems under random excitations

查看全文 作　　者：Chun-Biao [1]Gan;Hua [2]Lei

机构地区：[1]Department of Mechanical Engineering,Zhejiang University,310027 Hangzhou, China;[2]Institute of Applied Mechanics, SAA,Zhejiang University,310027 Hangzhou, China

出　　处：《Acta Mechanica Sinica》索引2011年第27卷第4期,共9页

基　　金：supported by the National Natural Science Foundation of China (10672140,11072213) 摘　　要：Due to uncertain push-pull action across boundaries between different attractive domains by random excitations,attractors of a dynamical system will drift in the phase space,which readily leads to colliding and mixing with each other,so it is very difficult to identify irregular signals evolving from arbitrary initial states.Here,periodic attractors from the simple cell mapping method are further iterated by a specific Poincare' map in order to observe more elaborate structures and drifts as well as possible dynamical bifurcations.The panorama of a chaotic attractor can also be displayed to a great extent by this newly developed procedure.From the positions and the variations of attractors in the phase space,the action mechanism of bounded noise excitation is studied in detail.Several numerical examples are employed to illustrate the present procedure.It is seen that the dynamical identification and the bifurcation analysis can be effectively performed by this procedure. 关键词：非线性动力学系统随机激励程序混沌 POINCARE映射分岔分析动力系统初始状态

相关文献

参考文献（20）
引证文献（5）
耦合文献（0）

参考文献(20)

引证文献(5)

互联网出版许可证新出网证(渝)字10号全国400电话 - 免长途话费

A new procedure for exploring chaotic attractors in nonlinear dynamical systems under random excitations

参考文献(20)

引证文献(5)

用户提示