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BIFURCATIONS OF LIMIT CYCLES FROM A HETEROCLINIC CYCLE OF HAMILTONIAN SYSTEMS
作者姓名:Han  Maoan
摘    要:§1.NormalFormsofDisplacementFunctionsConsideraplanarC∞systemoftheformx=f(x)+λf0(x,δ,λ)≡f(x,δ,λ),(1.1)wherex∈R2,λ∈R,δ∈Rm,andtr...

关 键 词:分支  有限循环  异宿轨  偏微分方程
收稿时间:1996/11/17 0:00:00
修稿时间:1997/8/21 0:00:00

BIFURCATIONS OF LIMIT CYCLES FROM A HETEROCLINIC CYCLE OF HAMILTONIAN SYSTEMS
Han Maoan.BIFURCATIONS OF LIMIT CYCLES FROM A HETEROCLINIC CYCLE OF HAMILTONIAN SYSTEMS[J].Chinese Annals of Mathematics,Series B,1998,19(2):189-196.
Authors:Han Maoan
Institution:HAN MAOAN *
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  
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