From scattering singularities to the partition of a horseshoe

DOI10.1063/1.166445zbMath0987.37025OpenAlexW2034365598WikidataQ73464019 ScholiaQ73464019MaRDI QIDQ4515115

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Publication date: 12 November 2000

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

Full work available at URL: https://doi.org/10.1063/1.166445

zbMATH Keywords

symbolic dynamicsPoincaré mapMarkov partitionhomoclinic tangenciesbranching treechaotic scattering system

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symbolic dynamics (37B10)

Related Items (7)

Escapes in Hamiltonian systems with multiple exit channels. II ⋮ Fugitive stars in active galaxies ⋮ A development scenario connecting the ternary symmetric horseshoe with the binary horseshoe ⋮ Escaping from a degenerate version of the four hill potential ⋮ Construction of a natural partition of incomplete horseshoes ⋮ Escape dynamics and fractal basin boundaries in Seyfert galaxies ⋮ Classical scattering from oscillating targets

Cites Work

• Correlation properties of dynamical chaos in Hamiltonian systems
• Boundary circles for area-preserving maps
• Markov shifts in the Hénon family
• On the symbolic dynamics of the Henon map
• Recycling of strange sets: I. Cycle expansions
• Symbolic encoding in symplectic maps
• Scaling properties of a scattering system with an incomplete horseshoe
• Truncated horseshoes and formal languages in chaotic scattering
• Hierarchical structure in the chaotic scattering off a magnetic dipole
• Differentiable dynamical systems
• Generating partitions in Hénon-type maps

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