Symbolic dynamics of one-dimensional maps: Entropies, finite precision, and noise

DOI10.1007/BF02650178zbMath0508.58029MaRDI QIDQ1837967

James P. Crutchfield, Norman H. Packard

Publication date: 1982

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

chaotic dynamicslogistic equationtopological and metric entropiesLyapunov characteristic exponents

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Ergodic theory (37A99)

Related Items (18)

Unnamed Item ⋮ Attractors of convex maps with positive Schwarzian derivative in the presence of noise ⋮ Appendix I. A brief review of cellular automata packages ⋮ Parameterization method for unstable manifolds of delay differential equations ⋮ Causation entropy from symbolic representations of dynamical systems ⋮ Regularities unseen, randomness observed: Levels of entropy convergence ⋮ Estimation of entropies and dimensions by nonlinear symbolic time series analysis ⋮ Complexity and meaning in nonlinear dynamical systems ⋮ What symbolic dynamics do we get with a misplaced partition? On the validity of threshold crossings analysis of chaotic time-series ⋮ Visibility graphs and symbolic dynamics ⋮ Can stochastic renewal of maps be a model for cerebral cortex? ⋮ Evolving cellular automata to perform computations: Mechanisms and impediments ⋮ The complexity of proving chaoticity and the Church–Turing thesis ⋮ TOPOLOGICAL COMPLEXITY AND PREDICTABILITY IN THE DYNAMICS OF A TUMOR GROWTH MODEL WITH SHILNIKOV'S CHAOS ⋮ Extracting cellular automaton rules directly from experimental data ⋮ Information flow and maximum entropy measures for 1-D maps ⋮ Fluctuation spectroscopy ⋮ A comparative classification of complexity measures

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