Topological entropy of one-dimensional maps: Approximations and bounds
- 3 January 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 72 (1) , 80-83
- https://doi.org/10.1103/physrevlett.72.80
Abstract
We present a method for computing the topological entropy of one-dimensional maps. As an approximation scheme, the algorithm converges rapidly and provides both upper and lower bounds.Keywords
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This publication has 14 references indexed in Scilit:
- Computing the topological entropy of maps of the interval with three monotone piecesJournal of Statistical Physics, 1992
- Steady fast dynamo flowsPhysics of Fluids B: Plasma Physics, 1991
- Computing the topological entropy of general one-dimensional mapsTransactions of the American Mathematical Society, 1991
- An improved algorithm for computing topological entropyJournal of Statistical Physics, 1989
- Entropy and volumeErgodic Theory and Dynamical Systems, 1988
- Construction of maps with generating partitions for entropy evaluationPhysical Review A, 1985
- Computing the topological entropy of mapsCommunications in Mathematical Physics, 1983
- Chaotic behavior in the Onchidium giant neuron under sinusoidal stimulationPhysics Letters A, 1982
- Entropy for group endomorphisms and homogeneous spacesTransactions of the American Mathematical Society, 1971
- Topological entropyTransactions of the American Mathematical Society, 1965