CHAOTIC OSCILLATION OF A NONLINEAR POWER SYSTEM

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (10): 1175-1182.

• 论文 • 上一篇

CHAOTIC OSCILLATION OF A NONLINEAR POWER SYSTEM

张伟年¹, 张卫东²

1. Department of Mathematics, Sichuan University, Chengdu 610064, P.R.China;
2. Chongqing Power College, Chongqing 400053, P.R.China

收稿日期:1997-07-02 修回日期:1999-02-10 出版日期:1999-10-18 发布日期:1999-10-18
基金资助:
the National Natural Science Foundation of China ( 19571081); the Sichuan Youth Sci-Tech Foundation( 94-002)

CHAOTIC OSCILLATION OF A NONLINEAR POWER SYSTEM

Zhang Weinian¹, Zhang Weidong²

1. Department of Mathematics, Sichuan University, Chengdu 610064, P.R.China;
2. Chongqing Power College, Chongqing 400053, P.R.China

Received:1997-07-02 Revised:1999-02-10 Online:1999-10-18 Published:1999-10-18
Supported by:
the National Natural Science Foundation of China ( 19571081); the Sichuan Youth Sci-Tech Foundation( 94-002)

摘要/Abstract

摘要： For a nonlinear power transmission system, the residue calculus method is introduced and applied to study its heteroclinic bifurcation. There a cone region and a strip region of parameters are obtained, in which the power transmission system displays chaotic oscillation. This gives a theoretic analysis and a computational method for the purpose to control the nonlinear system with deviation stably running.

关键词: power transmission system, nonlinear, heteroclinic bifurcation, chaotic oscillation

Abstract: For a nonlinear power transmission system, the residue calculus method is introduced and applied to study its heteroclinic bifurcation. There a cone region and a strip region of parameters are obtained, in which the power transmission system displays chaotic oscillation. This gives a theoretic analysis and a computational method for the purpose to control the nonlinear system with deviation stably running.

Key words: power transmission system, nonlinear, heteroclinic bifurcation, chaotic oscillation

中图分类号:

O175.14
O322

张伟年;张卫东. CHAOTIC OSCILLATION OF A NONLINEAR POWER SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(10): 1175-1182.

Zhang Weinian;Zhang Weidong. CHAOTIC OSCILLATION OF A NONLINEAR POWER SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(10): 1175-1182.

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CHAOTIC OSCILLATION OF A NONLINEAR POWER SYSTEM

CHAOTIC OSCILLATION OF A NONLINEAR POWER SYSTEM

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