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

Journal Article

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 Authors

Cited Authors

  • Strain, MC; Greenside, HS

Published Date

  • January 1, 1998

Published In

  • Physical Review Letters

Volume / Issue

  • 80 / 11

Start / End Page

  • 2306 - 2309