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Related Experiment Videos

Synchronized clusters in coupled map networks. I. Numerical studies.

Sarika Jalan1, R E Amritkar, Chin-Kun Hu

  • 1Physical Research Laboratory, Navrangpura, Ahmedabad 380 009, India. sarika@prl.ernet.in

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary
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Coupled map synchronization across diverse networks reveals phase-synchronized clusters with increasing coupling. Floating nodes exhibit intermittent behavior, and cluster formation depends on network type and parameters.

Area of Science:

  • Complex Systems
  • Network Science
  • Nonlinear Dynamics

Background:

  • Coupled map lattices are fundamental models for studying complex spatiotemporal dynamics.
  • Network topology significantly influences the emergent behavior of coupled systems.

Purpose of the Study:

  • To investigate the synchronization phenomena of coupled maps on various network structures.
  • To characterize cluster formation dynamics and identify factors influencing synchronization.

Main Methods:

  • Simulations of coupled logistic maps on diverse network topologies (1D, 2D, scale-free, small-world, tree, random).
  • Analysis of phase synchronization, cluster types (self-organized, driven), and floating node behavior.
  • Phase diagram analysis in the parameter space of coupling strength (epsilon) and logistic map parameter (mu).

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Main Results:

  • Phase synchronization and cluster formation observed with increasing coupling strength.
  • Identification of 'floating' nodes exhibiting intermittent synchronization.
  • Two distinct cluster formation mechanisms: self-organized (intracoupling) and driven (intercoupling).
  • Scale-free and Cayley tree networks show enhanced cluster formation for large nonlinear coupling.
  • Increased connectivity generally leads to more and larger synchronized clusters.

Conclusions:

  • Network topology and coupling strength are critical determinants of synchronization patterns in coupled map systems.
  • The interplay between network structure and local dynamics dictates the emergence of complex collective behaviors like phase synchronization and clustering.