Coupled maps with local and global interactions

DOI10.1063/1.166502zbMath0969.37013OpenAlexW1992486450WikidataQ73462898 ScholiaQ73462898MaRDI QIDQ4515149

Noriyuki Bob Ouchi, Kunihiko Kaneko

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://semanticscholar.org/paper/af2f62d9a257d7351e41a278a6044b32a869ef6d

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Smooth dynamical systems: general theory (37C99)

Related Items

Chaotic maps with nonlocal coupling: Lyapunov exponents, synchronization of chaos, and characterization of chimeras, Heterogeneous agents in multi-markets: a coupled map lattices approach

Cites Work

• Globally coupled circle maps
• 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
• Spatio-temporal intermittency in coupled map lattices
• Mean field fluctuation of a network of chaotic elements. Remaining fluctuation and correlation in the large size limit
• Anomalous Lyapunov spectrum in globally coupled oscillators
• Information cascade with marginal stability in a network of chaotic elements
• Tongue-like bifurcation structures of the mean-field dynamics in a network of chaotic elements
• On the bifurcation structure of the mean-field fluctuation in the globally coupled tent map systems
• Spatiotemporal Intermittency in Coupled Map Lattices
• Globally coupled chaos violates the law of large numbers but not the central-limit theorem
• The chemical basis of morphogenesis