Size-Dependent Transition to High-Dimensional Chaotic Dynamics in a Two-Dimensional Excitable Medium

Matthew C. Strain and Henry S. Greenside
Phys. Rev. Lett. 80, 2306 – Published 16 March 1998
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Abstract

The spatiotemporal dynamics of an excitable medium with multiple spiral defects is shown to vary smoothly with system size from short-lived transients for small systems to extensive chaos for large systems. A comparison of the Lyapunov dimension density with the average spiral defect density suggests an average dimension per spiral defect varying between 3 and 7. We discuss some implications of these results for experimental studies of excitable media.

  • Received 16 October 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.2306

©1998 American Physical Society

Authors & Affiliations

Matthew C. Strain*,† and Henry S. Greenside

  • Department of Physics, Duke University, Durham, North Carolina 27708-0305
  • *Also at Center for Nonlinear and Complex Systems, Duke University, Durham, NC.
  • Electronic address: strain@phy.duke.edu

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Vol. 80, Iss. 11 — 16 March 1998

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