Heteroclinic bifurcations and chaotic transport in the two-harmonic standard map

DOI10.1063/1.2179647zbMath1146.37329OpenAlexW2014386889WikidataQ51938363 ScholiaQ51938363MaRDI QIDQ3531590

Héctor E. Lomelí, Renato C. Calleja

Publication date: 3 November 2008

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/97f0c01a9361c39114d0bd6f8286ac78e0c1daf3

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Invariant manifold theory for dynamical systems (37D10) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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Cites Work

• On integrable mappings of standard type
• Heteroclinic orbits and flux in a perturbed integrable Suris map
• Resonances in area-preserving maps
• The one to two-hole transition for cantori
• Hirota equation as an example of an integrable symplectic map
• Chaotic layer of a nonlinear resonance driven by quasiperiodic perturbation.
• Explosions of chaotic sets
• Geometrical approach to the splitting of separatrix for standard-like mappings
• Homoclinic bifurcations for the Hénon map
• Variational computation of homoclinic orbits for twist maps
• Symplectic maps, variational principles, and transport
• Applications of the Melnikov method to twist maps in higher dimensions using the variational approach
• Explosions: global bifurcations at heteroclinic tangencies

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