Scholars@Duke publication: Size-dependent transition to high-dimensional chaotic dynamics in a two-dimensional excitable medium

Size-dependent transition to high-dimensional chaotic dynamics in a two-dimensional excitable medium

Journal articles

Strain, MC; Greenside, HS

Published in: Physical Review Letters

1998

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.

Duke Scholars

Author Henry Greenside Physics

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Published In

Physical Review Letters

Publication Date

1998

Volume

Issue

Start / End Page

2306 / 2309

Related Subject Headings

General Physics
09 Engineering
02 Physical Sciences
01 Mathematical Sciences

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Strain, M. C., & Greenside, H. S. (1998). Size-dependent transition to high-dimensional chaotic dynamics in a two-dimensional excitable medium. Physical Review Letters, 80(11), 2306–2309.

Strain, M. C., and H. S. Greenside. “Size-dependent transition to high-dimensional chaotic dynamics in a two-dimensional excitable medium.” Physical Review Letters 80, no. 11 (1998): 2306–9.

Strain MC, Greenside HS. Size-dependent transition to high-dimensional chaotic dynamics in a two-dimensional excitable medium. Physical Review Letters. 1998;80(11):2306–9.

Strain, M. C., and H. S. Greenside. “Size-dependent transition to high-dimensional chaotic dynamics in a two-dimensional excitable medium.” Physical Review Letters, vol. 80, no. 11, 1998, pp. 2306–09.

Strain MC, Greenside HS. Size-dependent transition to high-dimensional chaotic dynamics in a two-dimensional excitable medium. Physical Review Letters. 1998;80(11):2306–2309.