BIFURCATION IN A NONLINEAR DUFFING SYSTEM WITH MULTI-FREQUENCY EXTERNAL PERIODIC FORCES

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (2): 121-128.

BIFURCATION IN A NONLINEAR DUFFING SYSTEM WITH MULTI-FREQUENCY EXTERNAL PERIODIC FORCES

毕勤胜, 陈予恕, 吴志强

Department of Mechanics, Tianjing University, Tianjin 300072, P.R.China

收稿日期:1995-04-15 修回日期:1996-06-30 出版日期:1998-02-18 发布日期:1998-02-18
基金资助:
Project supported by the National Natural Scicncc Foundation and Doctor Point Foundation of China

BIFURCATION IN A NONLINEAR DUFFING SYSTEM WITH MULTI-FREQUENCY EXTERNAL PERIODIC FORCES

Bi Qinsheng, Chen Yushu, Wu Zhiqiang

Department of Mechanics, Tianjing University, Tianjin 300072, P.R.China

Received:1995-04-15 Revised:1996-06-30 Online:1998-02-18 Published:1998-02-18
Supported by:
Project supported by the National Natural Scicncc Foundation and Doctor Point Foundation of China

摘要/Abstract

摘要： By introducing nonlinear frequency, using Floquel theory and referring to the characteristics of the solution when it passes through the transition bounaries all kinds of bifurcation modes and their transition boundaries of Duffing equation with two periodic excitatins as well as the possible ways to chaos are studied in this paper.

关键词: nonlinear frequency, Floquet theory, bifrucation, chaos, Duffing system with multi-frequency external periodic forces

Abstract: By introducing nonlinear frequency, using Floquel theory and referring to the characteristics of the solution when it passes through the transition bounaries all kinds of bifurcation modes and their transition boundaries of Duffing equation with two periodic excitatins as well as the possible ways to chaos are studied in this paper.

Key words: nonlinear frequency, Floquet theory, bifrucation, chaos, Duffing system with multi-frequency external periodic forces

毕勤胜;陈予恕;吴志强. BIFURCATION IN A NONLINEAR DUFFING SYSTEM WITH MULTI-FREQUENCY EXTERNAL PERIODIC FORCES[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(2): 121-128.

Bi Qinsheng;Chen Yushu;Wu Zhiqiang . BIFURCATION IN A NONLINEAR DUFFING SYSTEM WITH MULTI-FREQUENCY EXTERNAL PERIODIC FORCES[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(2): 121-128.

参考文献

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BIFURCATION IN A NONLINEAR DUFFING SYSTEM WITH MULTI-FREQUENCY EXTERNAL PERIODIC FORCES

BIFURCATION IN A NONLINEAR DUFFING SYSTEM WITH MULTI-FREQUENCY EXTERNAL PERIODIC FORCES

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