Acta Mathematica Sinica

, Volume 11, Issue 2, pp 128–136 | Cite as

Bifurcation and chaotic dynamics of homoclinic systems in ℝ3

  • Sun Jianhua 


We consider perturbations which may or may not depend explicitly on time for the three-dimensional homoclinic systems. We obtain the existence and bifurcation theorems for transversal homoclinic points and homoclinic orbits, and illustrate our results with two examples.


Chaotic Dynamic Homoclinic Orbit Homoclinic Point Bifurcation Theorem Transversal Homoclinic Point 
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Copyright information

© Science Press 1995

Authors and Affiliations

  • Sun Jianhua 
    • 1
  1. 1.Department of MathematicsNanjing UniversityNanjingPeople's Republic of China

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