Homoclinic bifurcations and the area-conserving Henon mapping

DOI10.1016/0022-0396(84)90110-4zbMath0527.58029OpenAlexW1995563392MaRDI QIDQ595255

Robert L. Devaney

Publication date: 1984

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90110-4

zbMATH Keywords

unstable manifoldheteroclinic pointsHenon mappingreversible diffeomorphisms

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items

A note on homoclinic or heteroclinic orbits for the generalized Hénon map, Topologically transversal reversible homoclinic sets, Transversal homoclinic points of a class of conservative diffeomorphisms, Homoclinic points in the composition of two reflections, Iterative roots of two-dimensional mappings, Horseshoes in the measure-preserving Hénon map, Invariant m-dimensional tori of reversible systems with phase space of dimension greater than 2m, HOMOCLINIC SHADOWING AND ITS APPLICATION TO CHAOTIC SYSTEMS, Topological classifications for a class of 2-dimensional quadratic mappings and an application to iterative roots, ON THE FUNDAMENTAL REGIONS OF A FIXED POINT FREE CONSERVATIVE HÉNON MAP, Reversible maps in two-degrees of freedom Hamiltonian systems, Lower-dimensional tori in reversible systems, A new construction of the unstable manifold for the measure-preserving H{é}non map, Reversible Complex Hénon Maps, Bifurcations of Banach space operators, Homoclinic shadowing, Bifurcations of periodic solutions for plane mappings, Dynamics of a Hénon-Lozi-type map, Chaotic phenomena, Heteroclinic primary intersections and codimension one Melnikov method for volume-preserving maps, A piecewise linear model for the zones of instability of an area- preserving map, Geometric and arithmetic properties of the Hénon map

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