The  Existence  of  Periodic  Orbits  for  Higher  Dimensional Autonomous Systems with Small Perturbations

数学季刊 ›› 1995, Vol. 10 ›› Issue (3): 72-77.

The Existence of Periodic Orbits for Higher Dimensional Autonomous Systems with Small Perturbations

Zhengzhou Antiaircraft Academy;Henan Electric Power Staff&Works College

收稿日期:1994-11-20 出版日期:1995-09-30 发布日期:2025-03-13

The Existence of Periodic Orbits for Higher Dimensional Autonomous Systems with Small Perturbations

Zhengzhou Antiaircraft Academy;Henan Electric Power Staff&Works College

Received:1994-11-20 Online:1995-09-30 Published:2025-03-13

摘要/Abstract

摘要： By means of theory of toplogical degree in nonlinear functional analysis combining with qualitative analysis method in ordinary differential equations,we discuss the existence of nontrivial periodic orbits for higher dimensional autonomous system with small perturbations.

关键词: autonomous systems, periodic orbit, toplogical degree, index of a singular point ,

Abstract: By means of theory of toplogical degree in nonlinear functional analysis combining with qualitative analysis method in ordinary differential equations,we discuss the existence of nontrivial periodic orbits for higher dimensional autonomous system with small perturbations.

Key words: autonomous systems, periodic orbit, toplogical degree, index of a singular point ,

中图分类号:

O178

蒋里强, 周毅, 范晔, 王越. The Existence of Periodic Orbits for Higher Dimensional Autonomous Systems with Small Perturbations[J]. 数学季刊, 1995, 10(3): 72-77.

Jiang Liqing, Zhou Yi, Fan Ye, Wang Yue. The Existence of Periodic Orbits for Higher Dimensional Autonomous Systems with Small Perturbations[J]. Chinese Quarterly Journal of Mathematics, 1995, 10(3): 72-77.

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The Existence of Periodic Orbits for Higher Dimensional Autonomous Systems with Small Perturbations

The Existence of Periodic Orbits for Higher Dimensional Autonomous Systems with Small Perturbations

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