Article ID Journal Published Year Pages File Type
1139133 Mathematics and Computers in Simulation 2014 17 Pages PDF
Abstract

We study dynamics in a neighborhood of a nonhyperbolic fixed point or an irreducible homoclinic tangent point. General type conditions for the existence of infinite sets of periodic points are obtained. A new method, based on the study of the dynamics of center disks, is introduced.

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Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points
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