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HOMOCLINIC ORBITS IN PERTURBED GENERALIZED HAMILTONIAN SYSTEMS 被引量:1

HOMOCLINIC ORBITS IN PERTURBED GENERALIZED HAMILTONIAN SYSTEMS
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摘要 It this paper we obtain existence and bifurcation theorems for homoclinic orbits in three-dimeensional,time dependent and independent,perturbations of generalized Hamiltonian differential equations defined on three-dimensional Poisson manifolds.Thed we apply them to a truncated spectral model of the quasi-geostrophic flow on a cyclic β-plane. It this paper we obtain existence and bifurcation theorems for homoclinic orbits in three-dimeensional,time dependent and independent,perturbations of generalized Hamiltonian differential equations defined on three-dimensional Poisson manifolds.Thed we apply them to a truncated spectral model of the quasi-geostrophic flow on a cyclic β-plane.
出处 《Acta Mathematica Scientia》 SCIE CSCD 1996年第4期361-374,共14页 数学物理学报(B辑英文版)
关键词 bifurcation Poisson bracket Generalized Hamiltonian system homoclinic orbit Melnikov method perturbation theory bifurcation,Poisson bracket,Generalized Hamiltonian system,homoclinic orbit,Melnikov method,perturbation theory
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