NONINVERTIBLE TRANSFORMATIONS AND SPATIOTEMPORAL RANDOMNESS

DOI10.1142/S0218127406016859zbMath1117.37010arXivnlin/0602026OpenAlexW1986425705MaRDI QIDQ5297277

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Publication date: 18 July 2007

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0602026

zbMATH Keywords

chaoscellular automatanumerical simulationscoupled map latticestime-seriesBernoulli shift mapunpredictable dynamics

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Applications of dynamical systems (37N99) Dynamical aspects of cellular automata (37B15) Time series analysis of dynamical systems (37M10) Random dynamical systems (37H99)

Cites Work

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• Statistical mechanics of cellular automata
• The double scroll
• CLARIFYING CHAOS: EXAMPLES AND COUNTEREXAMPLES
• Globally coupled chaos violates the law of large numbers but not the central-limit theorem
• Towards a statistical mechanics of spatiotemporal chaos
• Overview of coupled map lattices
• Chaotic itinerancy
• A mechanism for randomness

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