Kolmogorov-Sinai entropy and Lyapunov spectrum of a one-dimensional \(\Phi^ 4\)-lattice model

DOI10.1016/0167-2789(93)90093-GzbMath0791.58059OpenAlexW2010543411MaRDI QIDQ1325888

Ute Bahr, Gerd Mutschke

Publication date: 5 June 1994

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

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90093-g

zbMATH Keywords

dynamical phase transitionKolmogorov-Sinai entropyLyapunov spectrumchains of particles

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Ergodic theory (37A99)

Cites Work

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• Vanishing stability thresholds in the thermodynamic limit of nonintegrable conservative systems
• Determining Lyapunov exponents from a time series
• The distribution of Lyapunov exponents: Exact results for random matrices
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Comparison of Different Methods for Computing Lyapunov Exponents
• Ergodic theory of chaos and strange attractors

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