Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points
Dynamical Systems
2011-12-20 v1
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. Some results on shadowing near a non-hyperbolic fixed point of a homeomorphism are obtained.
Cite
@article{arxiv.1112.4276,
title = {Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points},
author = {Sergey Kryzhevich and Sergei Pilyugin},
journal= {arXiv preprint arXiv:1112.4276},
year = {2011}
}
Comments
Submitted to Mathematics and Computers in Simulation