Abstract
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.
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Communicated by LI Ji-bin
Foundation item: the Natural Science Foundation of Yunnan Province of China (1999A0018M)
Biography: HE Tian-lan (1975-), Master
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Tian-lan, H. Bifurcations of invariant curves of a difference equation. Appl Math Mech 22, 1096–1104 (2001). https://doi.org/10.1007/BF02438329
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DOI: https://doi.org/10.1007/BF02438329