Coherent Regimes of Globally Coupled Dynamical Systems

Silvia De Monte, Francesco d’Ovidio, and Erik Mosekilde
Phys. Rev. Lett. 90, 054102 – Published 4 February 2003

Abstract

This Letter presents a method by which the mean field dynamics of a population of dynamical systems with parameter diversity and global coupling can be described in terms of a few macroscopic degrees of freedom. The method applies to populations of any size and functional form in the region of coherence. It requires linear variation or a narrow distribution for the dispersed parameter. Although an approximation, the method allows us to quantitatively study the transitions among the collective regimes as bifurcations of the effective macroscopic degrees of freedom. To illustrate, the phenomenon of oscillator death and the route to full locking are examined for chaotic oscillators with time scale mismatch.

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  • Received 30 July 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.054102

©2003 American Physical Society

Authors & Affiliations

Silvia De Monte1,*, Francesco d’Ovidio1,2,†, and Erik Mosekilde1,‡

  • 1Chaos Group, Department of Physics, Technical University of Denmark, DK 2800 Lyngby, Denmark
  • 2Center for Quantum Protein, Department of Physics, Technical University of Denmark, DK 2800 Lyngby, Denmark

  • *Electronic address: silvia@fysik.dtu.dk
  • Electronic address: dovidio@fysik.dtu.dk
  • Electronic address: erik.mosekilde@fysik.dtu.dk

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Issue

Vol. 90, Iss. 5 — 7 February 2003

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