Construction of a natural partition of incomplete horseshoes

DOI10.1063/1.1859111zbMath1080.37031arXivnlin/0312055OpenAlexW1986890165WikidataQ80409187 ScholiaQ80409187MaRDI QIDQ5705495

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Publication date: 8 November 2005

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

Full work available at URL: https://arxiv.org/abs/nlin/0312055

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99)

Related Items (7)

Using periodic orbits to compute chaotic transport rates between resonance zones ⋮ Partitioning two-dimensional mixed phase spaces ⋮ A development scenario connecting the ternary symmetric horseshoe with the binary horseshoe ⋮ A new topological technique for characterizing homoclinic tangles ⋮ Escaping from a degenerate version of the four hill potential ⋮ The topology of nested homoclinic and heteroclinic tangles ⋮ Minimal topological chaos coexisting with a finite set of homoclinic and periodic orbits

Cites Work

• Inelastic inverse chaotic scattering problem
• On the symbolic dynamics of the Henon map
• Symbolic encoding in symplectic maps
• Scaling properties of a scattering system with an incomplete horseshoe
• From scattering singularities to the partition of a horseshoe
• Hierarchical structure in the chaotic scattering off a magnetic dipole
• Differentiable dynamical systems
• The inverse scattering problem for chaotic Hamiltonian systems
• Generating partitions in Hénon-type maps

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