Reversible perturbations of conservative Hénon-like maps
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hdl:2117/359845
Tipus de documentArticle
Data publicació2021-04-01
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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.
CitacióGonchenko, M.; Gonchenko, S.; Safonov, K. Reversible perturbations of conservative Hénon-like maps. "Discrete & Continuous Dynamical Systems - A", 1 Abril 2021, vol. 41, núm. 4, p. 1875-1895.
ISSN1553-5231
Versió de l'editorhttp://www.aimsciences.org/article/doi/10.3934/dcds.2020343
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