BIFURCATIONS OF LIMIT CYCLES FROM A HETEROCLINIC CYCLE OFHAMILTONIAN SYSTEMS

Citation:

Han Maoan.BIFURCATIONS OF LIMIT CYCLES FROM A HETEROCLINIC CYCLE OFHAMILTONIAN SYSTEMS[J].Chinese Annals of Mathematics B,1998,19(2):189~196
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Authors:

Han Maoan;

Foundation:

Project supported by the National Natural Science Foundation of China.
Abstract: This paper is concerned with the bifurcations of limit cycles from a heteroclinic cycle of planar Hamiltonian systems under perturbations. The author obtains a simple condition which guarantees the existence of at most two limit cycles near the heteroclinic cycle.

Keywords:

Bifurcation, Limit cycle, Heteroclinic cycle

Classification:

34C05
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