標題: Nonlinear dynamics and chaos control for a time delay Duffing system
作者: Ge, ZM
Hsiao, CL
Chen, YS
機械工程學系
Department of Mechanical Engineering
關鍵字: dynamical system;nonlinear dynamics;stability;chaos;bifurcation
公開日期: 2005
摘要: A time delay Duffing system is studied in this paper. This system is forced by harmonically periodic vibration to enrich dynamics behaviors. Because of the nonlinear terms of the system, the system exhibits both regular and chaotic motions. By using Lyapunov direct method, the stability of the controlled system can be determined. And by applying various numerical results, such as phase portraits, Poincare maps, time history and power spectrum analysis, the behaviors of the periodic and chaotic motion are presented. The effects of the change of parameters in the system can be found in the bifurcation diagrams and parametric diagrams. Finally, a time delay feedback controlling method is applied to the system. It is found that the controller can effectively control the chaotic orbits to the regular ones.
URI: http://hdl.handle.net/11536/24525
ISSN: 1565-1339
期刊: INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
Volume: 6
Issue: 2
起始頁: 187
結束頁: 199
Appears in Collections:Articles