Mode locking in small-world networks of coupled circle maps

DOI10.1016/S0378-4371(02)01917-9zbMath1020.37019OpenAlexW2123652706MaRDI QIDQ1866921

Antônio M. Batista, Ricardo L. Viana, Sandro E. de Souza Pinto, Sérgio Roberto Lopes

Publication date: 23 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0378-4371(02)01917-9

zbMATH Keywords

statisticsfrequency synchronizationnearest-neighbor couplingrandomly distributed parameters

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Random dynamical systems (37H99)

Related Items (6)

Synchronization Dynamics in Complex Networks ⋮ Synchronization of biological clock cells with a coupling mediated by the local concentration of a diffusing substance ⋮ Hierarchical synchronization in complex networks with heterogeneous degrees ⋮ Lyapunov spectrum of a lattice of chaotic systems with local and non-local couplings ⋮ Pattern formation and Turing instability in an activator-inhibitor system with power-law coupling ⋮ Arnold maps with noise: differentiability and non-monotonicity of the rotation number

Cites Work

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• Phase synchronization of chaotic oscillators by external driving
• Renormalization group analysis of the small-world network model
• Synchronization of coupled kicked limit cycle systems
• Supersymmetry in Disorder and Chaos
• Collective dynamics of ‘small-world’ networks
• Models of the small world.
• Collective behavior in a chain of van der Pol oscillators with power-law coupling

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