Self-replicating pulses and Sierpinski gaskets in excitable media

Yumino Hayase and Takao Ohta
Phys. Rev. E 62, 5998 – Published 1 November 2000
PDFExport Citation

Abstract

In our previous papers, we have shown by computer simulations that a Sierpinski gasket pattern appears in a Bonhoeffer–van der Pol type reaction-diffusion system. In this paper, we show another class of regular self-similar structure which is found in four different excitable reaction-diffusion systems. This result strongly implies that the existence of the self-similar spatiotemporal evolution is universal in excitable reaction-diffusion media.

  • Received 12 April 2000

DOI:https://doi.org/10.1103/PhysRevE.62.5998

©2000 American Physical Society

Authors & Affiliations

Yumino Hayase1 and Takao Ohta2

  • 1Graduate School of Humanities and Sciences, Ochanomizu University, Tokyo 112-8610, Japan
  • 2Institute for Nonlinear Sciences and Applied Mathematics, Graduate School of Sciences, Hiroshima University, Higashi-Hiroshima 739-8526, Japan

References (Subscription Required)

Click to Expand
Issue

Vol. 62, Iss. 5 — November 2000

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×