Symbolic dynamics for nonhyperbolic systems
From MaRDI portal
Publication:3065715
DOI10.1090/S0002-9939-2010-10434-3zbMath1219.37011arXiv0909.0882OpenAlexW2024635935MaRDI QIDQ3065715
Publication date: 6 January 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.0882
Symbolic dynamics (37B10) Index theory for dynamical systems, Morse-Conley indices (37B30) Approximation methods and numerical treatment of dynamical systems (37M99)
Related Items
Entropy for symbolic dynamics with overlapping alphabets ⋮ Topological conjugacy for Lipschitz perturbations of non-autonomous systems ⋮ Cocyclic subshifts from Diophantine equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Isolating segments, fixed point index, and symbolic dynamics. III: Applications
- Positively expansive dynamical systems
- Isolating blocks and epsilon chains for maps
- Isolating blocks and symbolic dynamics
- Homology for zero-dimensional nonwandering sets
- Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem
- Cocyclic subshifts
- Leray functor and orbital Conley index for non-invariant sets
- Covering relations for multidimensional dynamical systems. II
- The Conley index for discrete semidynamical systems
- The Conley index and symbolic dynamics
- An algorithmic approach to the Conley index theory
- The square of a map, symbolic dynamics and the Conley index
- Chaos in orientation reversing twist maps of the plane
- Detection of renewal system factors via the Conley index
- Topological techniques for efficient rigorous computation in dynamics
- Algorithms for Rigorous Entropy Bounds and Symbolic Dynamics
- Computer assisted proof of chaos in the Rössler equations and in the Hénon map
- Leray Functor and Cohomological Conley Index for Discrete Dynamical Systems
- Chaos in the Lorenz equations: a computer-assisted proof
- Horseshoes and the Conley index spectrum
- Dynamical systems, shape theory and the Conley index
- An Introduction to Symbolic Dynamics and Coding
- Shift equivalence and the Conley index
- TOWARDS AUTOMATED CHAOS VERIFICATION
