Generating partitions in Hénon-type maps

DOI10.1016/0375-9601(92)90556-2zbMath0979.37502OpenAlexW2008775492MaRDI QIDQ5955737

Antonio Z. Politi, F. Giovannini

Publication date: 18 February 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(92)90556-2

Mathematics Subject Classification ID

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

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A development scenario connecting the ternary symmetric horseshoe with the binary horseshoe ⋮ Symbolic dynamics and synchronization of coupled map networks with multiple delays ⋮ Homoclinic tangencies and non-normal Jacobians-effects of noise in nonhyperbolic chaotic systems ⋮ Construction of a natural partition of incomplete horseshoes ⋮ The inverse scattering problem for chaotic Hamiltonian systems ⋮ Symbolic partition in chaotic maps ⋮ From template analysis to generating partitions. I: Periodic orbits, knots and symbolic encodings ⋮ From scattering singularities to the partition of a horseshoe

Cites Work

• Ergodic properties of the Lozi mappings
• On the topology of the Henon map
• Homoclinic tangencies, generating partitions and curvature of invariant manifolds
• Characterization of unstable periodic orbits in chaotic attractors and repellers

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