RESEARCH OF THE PERIODIC MOTION AND STABILITY OF TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATING SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (10): 1229-1236.

• 论文 • 上一篇

RESEARCH OF THE PERIODIC MOTION AND STABILITY OF TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATING SYSTEMS

刘俊

Department of Mathematics, Qujing Normal College, Qujing, Yunnan 655000, P. R. China

收稿日期:2001-02-27 修回日期:2002-04-01 出版日期:2002-10-18 发布日期:2002-10-18
基金资助:
the Applied Foundation of the Education Department of Yunnan Province, China(001226)

RESEARCH OF THE PERIODIC MOTION AND STABILITY OF TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATING SYSTEMS

LIU Jun

Department of Mathematics, Qujing Normal College, Qujing, Yunnan 655000, P. R. China

Received:2001-02-27 Revised:2002-04-01 Online:2002-10-18 Published:2002-10-18
Supported by:
the Applied Foundation of the Education Department of Yunnan Province, China(001226)

摘要/Abstract

摘要： The periodic motion and stability for a class of two-degree-of-freedom nonlinear oscillating systems are studied by using the method of Liapunov function. The sufficient conditions which guarantee the existence, uniqueness and asymptotic stability of the periodic solutions are obtained.

中图分类号:

O322
O175.14

刘俊. RESEARCH OF THE PERIODIC MOTION AND STABILITY OF TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATING SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(10): 1229-1236.

LIU Jun . RESEARCH OF THE PERIODIC MOTION AND STABILITY OF TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATING SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(10): 1229-1236.

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RESEARCH OF THE PERIODIC MOTION AND STABILITY OF TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATING SYSTEMS

RESEARCH OF THE PERIODIC MOTION AND STABILITY OF TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATING SYSTEMS

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