Chinese Quarterly Journal of Mathematics ›› 1995, Vol. 10 ›› Issue (3): 72-77.

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

  

  1. Zhengzhou   Antiaircraft   Academy;Henan  Electric  Power  Staff&Works   College
  • Received:1994-11-20 Online:1995-09-30 Published:2025-03-13

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 ,

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