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The Existence of Periodic Orbits for Higher Dimensional Autonomous Systemswith Small Perturbations
引用本文:蒋里强,周毅,范晔,王越.The Existence of Periodic Orbits for Higher Dimensional Autonomous Systemswith Small Perturbations[J].数学季刊,1995(3).
作者姓名:蒋里强  周毅  范晔  王越
摘    要:TheExistenceofPeriodicOrbitsforHigherDimensionalAutonomousSystemswithSmallPerturbationsJiangLiqing(蒋里强);ZhouYi(周毅);FanYe(范晔)(...


The Existence of Periodic Orbits for Higher Dimensional Autonomous Systems with Small Perturbations
Jiang Liqing, Zhou Yi, Fan Ye.The Existence of Periodic Orbits for Higher Dimensional Autonomous Systems with Small Perturbations[J].Chinese Quarterly Journal of Mathematics,1995(3).
Authors:Jiang Liqing  Zhou Yi  Fan Ye
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.
Keywords:autonomous systems: periodic orbit  toplogical degree  index of  a singular point
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