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Self-organized and driven phase synchronization in coupled maps.

Sarika Jalan1, R E Amritkar

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

Physical Review Letters
|February 7, 2003
PubMed
Summary
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We explore phase synchronization and cluster formation in coupled map networks. Two mechanisms were identified: self-organized and driven synchronization, differing in coupling dominance and network dynamics.

Area of Science:

  • Complex Systems
  • Network Science
  • Nonlinear Dynamics

Background:

  • Coupled map lattices are used to model complex spatio-temporal phenomena.
  • Understanding cluster formation is crucial for analyzing network behavior.

Purpose of the Study:

  • To investigate phase synchronization and cluster formation in coupled maps on diverse networks.
  • To differentiate between self-organized and driven synchronization mechanisms.
  • To analyze the dynamical origins of these mechanisms in small networks.

Main Methods:

  • Simulations of coupled maps on various network topologies.
  • Analysis of phase synchronization and coupling strengths.
  • Investigation of network dynamics for small systems (2-3 nodes).

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Main Results:

  • Identified two distinct cluster formation mechanisms: self-organized and driven phase synchronization.
  • Self-organized synchronization shows dominant intracluster couplings.
  • Driven synchronization exhibits dominant intercluster couplings, with one cluster driving others.

Conclusions:

  • Two distinct mechanisms drive cluster formation in coupled map networks.
  • The type of synchronization (self-organized vs. driven) dictates coupling dominance and network behavior.
  • The study provides insights into the fundamental dynamics governing synchronization and clustering in complex networks.