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http://hdl.handle.net/2445/194397
Title: | Reversible perturbations of conservative Henon-like maps |
Author: | Gonchenko, Marina Gonchenko, Sergey V. Safonov, Klim A. |
Keywords: | Teoria de la bifurcació Sistemes dinàmics diferenciables Teoria ergòdica Sistemes dinàmics de baixa dimensió Bifurcation theory Differentiable dynamical systems Ergodic theory Low-dimensional dynamical systems |
Issue Date: | Apr-2021 |
Publisher: | American Institute of Mathematical Sciences (AIMS) |
Abstract: | For area-preserving Hénon-like maps and their compositions, we consider smooth perturbations that keep the reversibility of the initial maps but destroy their conservativity. For constructing such perturbations, we use two methods, a new method based on reversible properties of maps written in the so-called cross-form, and the classical Quispel-Roberts method based on a variation of involutions of the initial map. We study symmetry breaking bifurcations of symmetric periodic orbits in reversible families containing quadratic conservative orientable and nonorientable Hénon maps as well as a product of two Hénon maps whose Jacobians are mutually inverse. |
Note: | Versió postprint del document publicat a: https://doi.org/10.3934/dcds.2020343 |
It is part of: | Discrete and Continuous Dynamical Systems-Series A, 2021, vol. 41, num. 4, p. 1875-1895 |
URI: | http://hdl.handle.net/2445/194397 |
Related resource: | https://doi.org/10.3934/dcds.2020343 |
ISSN: | 1078-0947 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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