Isolating blocks and epsilon chains for maps

DOI10.1016/0167-2789(89)90041-9zbMath0696.58042OpenAlexW1995074414MaRDI QIDQ910790

Robert W. Easton

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90041-9

zbMATH Keywords

invariant setdynamical systemsmetric spacepseudo-orbitmap

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (15)

Pseudo-Orbits and Topological Entropy ⋮ Isolating neighborhoods and chaos ⋮ An equivalent relationship in discrete dynamical systems ⋮ Chain recurrence and attraction in non-compact spaces ⋮ About the homological discrete Conley index of isolated invariant acyclic continua ⋮ Some properties of the chain recurrent set of dynamical systems. ⋮ Computer assisted proof of chaos in the Lorenz equations ⋮ Conley index for random dynamical systems ⋮ Generic Homeomorphisms Have no Smallest Attractors ⋮ Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows. ⋮ On periodic points for systems of weakly coupled 1-dim maps. ⋮ Symbolic dynamics for nonhyperbolic systems ⋮ Shift equivalence and the Conley index ⋮ LUSTERNIK–SCHNIRELMANN CATEGORY BASED ON THE DISCRETE CONLEY INDEX THEORY ⋮ Fixed point indices of planar continuous maps

Cites Work

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• Isolating blocks and symbolic dynamics
• Numerical orbits of chaotic processes represent true orbits
• Stable and Random Motions in Dynamical Systems
• Trellises Formed by Stable and Unstable Manifolds in the Plane
• Attractors: Persistence, and Density of Their Basins
• Period Three Implies Chaos
• Differentiable dynamical systems

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