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Reversible perturbations of conservative Henon-like maps

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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.

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American Institute of Mathematical Sciences (AIMS)

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Discrete and Continuous Dynamical Systems-Series A, 2021, vol. 41, num. 4, p. 1875-1895

# metadata.dc.rights[].value
(c) American Institute of Mathematical Sciences (AIMS), 2021

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Reversible perturbations of conservative Henon-like maps