Ergodic parameters and dynamical complexity

DOI10.1063/1.3634008zbMath1317.37007OpenAlexW2056285054WikidataQ85046077 ScholiaQ85046077MaRDI QIDQ5264352

R. Vilela Mendes

Publication date: 27 July 2015

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

Full work available at URL: https://semanticscholar.org/paper/f3b9337c43faa1f9690093f8abd3b404b2639b3b

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Ergodic theorems, spectral theory, Markov operators (37A30) Measures of information, entropy (94A17) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Cites Work

• Unnamed Item
• Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entropy of the standard mapping
• Prediction, retrodiction, and the amount of information stored in the present
• Dimensions and entropies of strange attractors from a fluctuating dynamics approach
• A dynamical characterization of the small world phase
• Generalized Lyapunov exponents in high-dimensional chaotic dynamics and products of large random matrices
• Clustering and synchronization with positive Lyapunov exponents
• Deterministic Bak--Sneppen model: Lyapunov spectrum and avalanches as return times
• Statistical Dynamics Generated by Fluctuations of Local Lyapunov Exponents
• Characterisation of intermittency in chaotic systems
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Looking at the equilibrium measures in dynamical systems
• Synchronization in chaotic systems
• Collective dynamics of ‘small-world’ networks
• TOOLS FOR NETWORK DYNAMICS
• Structure-generating mechanisms in agent-based models
• Computational mechanics: pattern and prediction, structure and simplicity.

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