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BIFURCATIONS OF INVARIANT CURVES OF A DIFFERENCE EQUATION

BIFURCATIONS OF INVARIANT CURVES OF A DIFFERENCE EQUATION
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摘要 Bifurcation of the invariant curves of a difference equation is studied. The system defined by the difference equation is integrable, so the study of the invariant curves of the difference system can become the study of topological classification of the planar phase portraits defined by a planar Hamiltonian system. By strict qualitative analysis, the classification of the invariant curves in parameter space can be obtained. Bifurcation of the invariant curves of a difference equation is studied. The system defined by the difference equation is integrable, so the study of the invariant curves of the difference system can become the study of topological classification of the planar phase portraits defined by a planar Hamiltonian system. By strict qualitative analysis, the classification of the invariant curves in parameter space can be obtained.
机构地区 Institute of Science
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第9期1096-1104,共9页 应用数学和力学(英文版)
基金 theNaturalScienceFoundationofYunnanProvinceofChina ( 1 999A0 0 1 8M)
关键词 difference equation Hamiltonian system invariant curve difference equation Hamiltonian system invariant curve
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