A SIMPLE METHOD FOR FINDING TOPOLOGICAL HORSESHOES
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Publication:3567262
DOI10.1142/S0218127410025545zbMath1188.37035MaRDI QIDQ3567262
Publication date: 11 June 2010
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05)
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Uses Software
Cites Work
- A topological horseshoe in the hyperchaotic Rössler attractor
- A two-dimensional mapping with a strange attractor
- Horseshoes in piecewise continuous maps
- From template analysis to generating partitions. I: Periodic orbits, knots and symbolic encodings
- From template analysis to generating partitions. II: Characterization of the symbolic encodings
- Metric horseshoes
- The Conley index and symbolic dynamics
- Global optimization using a dynamical systems approach
- A verified optimization technique to locate chaotic regions of Hénon systems
- Topological horseshoes in continuous maps
- Topological horseshoes
- A Chaos Lemma
- A planar topological horseshoe theory with applications to computer verifications of chaos
- How to prune a horseshoe
- On the symbolic dynamics of the Henon map
- TOPOLOGICAL HORSESHOES AND COMPUTER ASSISTED VERIFICATION OF CHAOTIC DYNAMICS
- Chaotic dynamics in a class of three dimensional Glass networks
- Computer assisted proof of chaos in the Rössler equations and in the Hénon map
- Ergodic theory of chaos and strange attractors
- ON ENTROPY OF CHUA'S CIRCUITS
- A computer-assisted verification of hyperchaos in the Saito hysteresis chaos generator
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