Synchronized family dynamics in globally coupled maps

DOI10.1063/1.166448zbMath0986.37043OpenAlexW2041524131WikidataQ46230403 ScholiaQ46230403MaRDI QIDQ4515114

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Publication date: 12 November 2000

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

Full work available at URL: https://doi.org/10.1063/1.166448

zbMATH Keywords

stabilitycoupling strengthglobally coupled logistic map latticetwo-family states

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of attractors and their bifurcations (37G35) Smooth dynamical systems: general theory (37C99)

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Cites Work

• Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
• Breaking and disappearance of tori
• On the strength of attractors in a high-dimensional system: Milnor attractor network, robust global attraction, and noise-induced selection.
• Tongue-like bifurcation structures of the mean-field dynamics in a network of chaotic elements
• Relevance of dynamic clustering to biological networks
• Remarks on the mean field dynamics of networks of chaotic elements
• Oscillation and Doubling of Torus
• Fractalization of Torus
• Partition complexity in a network of chaotic elements
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Globally coupled chaos violates the law of large numbers but not the central-limit theorem
• Overview of coupled map lattices
• Characterizing strange nonchaotic attractors