Kolmogorov-Sinai entropy for locally coupled piecewise linear maps

DOI10.1016/S0378-4371(02)00579-4zbMath0995.37004OpenAlexW2165930186MaRDI QIDQ1598537

Ricardo L. Viana, Antônio M. Batista

Publication date: 23 May 2002

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4371(02)00579-4

zbMATH Keywords

chaotic mapsone-dimensional latticestrong coupling

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (7)

KS-entropy-based analysis of IP-network traffic in terms of time variation of dynamical properties ⋮ Lyapunov spectrum of chaotic maps with a long-range coupling mediated by a diffusing substance ⋮ Lyapunov spectrum of a lattice of chaotic systems with local and non-local couplings ⋮ Extensive generalization of statistical mechanics based on incomplete information theory ⋮ Extensive generalization of statistical mechanics based on incomplete information theory ⋮ Measuring and Locating Zones of Chaos and Irregularity by Application of High Spectral Chaotic Global Variants ⋮ Critical parameters of the synchronisation's stability for coupled maps in regular graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pattern dynamics in spatiotemporal chaos. Pattern selection, diffusion of defect and pattern competition intermittency
• Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
• Infinite-dimensional SRB measures
• Spatio-temporal intermittency in coupled map lattices
• KS entropy and mean Lyapunov exponent for coupled map lattices
• An inequality for the entropy of differentiable maps
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Scaling and interleaving of subsystem Lyapunov exponents for spatio-temporal systems
• The complexity of the logistic map at the chaos threshold
• Traveling waves induced by parameter fluctuations in rings of coupled maps
• Lyapunov exponents of a lattice of chaotic maps with a power-law coupling
• Ising-type and other transitions in one-dimensional coupled map lattices with sign symmetry

This page was built for publication: Kolmogorov-Sinai entropy for locally coupled piecewise linear maps