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Phys. Rev. Lett. 95, 098302 (2005) [4 pages]

Asymmetric Bound States of Spiral Pairs in Excitable Media

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Christian Zemlin1, Karthik Mukund1, Marcel Wellner1, Roman Zaritsky2, and Arkady Pertsov1
1Department of Pharmacology, SUNY Upstate Medical University, Syracuse, New York 13210, USA
2Department of Computer Science, Montclair State University, Upper Montclair, New Jersey 07043, USA

Received 3 March 2005; published 26 August 2005

We present a stable regime of asymmetric bound states for spiral pairs in a generic numerical model of a homogeneous excitable medium. In this regime, one spiral tip (slave) rotates around the other (master). Master-slave dynamics occur for both same-chirality and opposite-chirality spiral pairs in a range of parameters and initial conditions. We study the dependency of master-slave characteristics on the medium’s excitation threshold and present a phenomenological model that accounts for the qualitative properties of master-slave dynamics.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.098302
DOI:
10.1103/PhysRevLett.95.098302
PACS:
82.40.Ck, 05.65.+b, 89.75.Kd