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Homology Bifurcation Problem for a Class of Three - Dimensional Systems

  • Ruiping HuangEmail author
  • Lei Deng
  • Xinshe Qi
  • Yuyi Li
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1084)

Abstract

By combining the central manifold theorem and planar bifurcation theory, this paper studies the bifurcation limit cycles of a class of three dimensional systems with homology rings, gives the conditions for the existence of stable limit cycles, and generalizes the results of existing planar systems.

Keywords

Central manifold theorem Homoclinic orbits Branch Limit cycle 

References

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    Zhang, J., Feng, B.: Geometric Theory and Bifurcation of Ordinary Differential Equations. Peking University Press, Beijing (2000)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Public Training Courses Office in College of Information and Communication of NUDTXi’anChina
  2. 2.Common Military Courses Office in Army Academy of Border and Coastal DefenseXi’anChina
  3. 3.Foreign (Taiwan) Army Office in College of Information and Communication of NUDTWuhanChina

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