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APS » Journals » Phys. Rev. A » Volume 42 » Issue 4
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Phys. Rev. A 42, 2489–2492 (1990)

Spiral-wave dynamics in a simple model of excitable media: The transition from simple to compound rotation

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Dwight Barkley
Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544

Mark Kness and Laurette S. Tuckerman
Center for Nonlinear Dynamics and Department of Mathematics, University of Texas, Austin, Texas 78712

Received 14 May 1990; published in the issue dated August 1990

Two-dimensional reaction-diffusion equations with simple reaction kinetics are used to study the dynamics of spiral waves in excitable media. Detailed numerical results are presented for the transition from simple (periodic) rotation to compound (quasiperiodic) rotation of spiral waves. It is shown that this transition occurs via a supercritical Hopf bifurcation and that there is no frequency locking within the quasiperiodic regime.

© 1990 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.42.2489
DOI:
10.1103/PhysRevA.42.2489
PACS:
82.20.Wt, 82.20.Mj, 87.90.+y
 
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