Problems in Homoclinic Bifurcation with Higher Dimensions

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Zhu Deming Department of Mathematics East China Normal University Shanghai China [200062 ]
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O175.12 [定性理论];
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<正> In this paper, a suitable local coordinate system is constructed by using exponentialdichotomies and generalizing the Floquet method from periodic systems to nonperiodic systems.Then the Poincare map is established to solve various problems in homoclinic bifurcations withcodimension one or two. Bifurcation diagrams and bifurcation curves are given.
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页码:341 / 352
页数:12
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