How does a choice of Markov partition affect the resultant symbolic dynamics?

DOI10.1063/1.3491097zbMath1311.37003OpenAlexW2145304382WikidataQ85120025 ScholiaQ85120025MaRDI QIDQ5251243

Hiroshi Teramoto, Tamiki Komatsuzaki

Publication date: 19 May 2015

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

Full work available at URL: http://hdl.handle.net/2115/44123

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05)

Related Items (7)

Univoque graphs for non-integer base expansions ⋮ Entropy-based generating Markov partitions for complex systems ⋮ Application of symbolic dynamics to characterize coordinated activity in the context of biological neural networks ⋮ Causation entropy from symbolic representations of dynamical systems ⋮ Comparing dynamical systems by a graph matching method ⋮ Markov invariant dynamics ⋮ Optimal state amalgamation is NP-hard

Cites Work

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• Permutations and topological entropy for interval maps
• What symbolic dynamics do we get with a misplaced partition? On the validity of threshold crossings analysis of chaotic time-series
• Probability density functions of some skew tent maps
• Computational mechanics: pattern and prediction, structure and simplicity.

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