arXiv:1112.4276 Abstract | arXiv Analytics

arXiv:1112.4276 [math.DS]Abstract References Reviews Resources

Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points

Published 2011-12-19Version 1

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. Some results on shadowing near a non-hyperbolic fixed point of a homeomorphism are obtained.

Comments: Submitted to Mathematics and Computers in Simulation

Categories: math.DS

Keywords: nonhyperbolic fixed point, nontransverse homoclinic points, irreducible homoclinic tangent point, general type conditions, center disks

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