Interacting spiral waves in the Oregonator model of the light-sensitive Belousov-Zhabotinskii reaction

I. Schebesch and H. Engel
Phys. Rev. E 60, 6429 – Published 1 December 1999
PDFExport Citation

Abstract

We study the interaction of meandering spiral waves within the framework of a modified Oregonator model for the light-sensitive Belousov-Zhabotinskii medium. In this medium the local excitation threshold can be controlled by varying the intensity of incident light. At low as well as sufficiently high light intensity we find stable axis-symmetric bound states consisting of two counterrotating spirals. At intensity values in between, spiral pairs undergo a symmetry-breaking instability, leading to one spiral suppressing and expelling the other. To avoid the instability, we consider a spiral wave interacting with its mirror image close to a plane boundary impermeable to diffusion. The drift velocity and the drift direction of those pseudobound states parallel to the boundary are strongly influenced by the light intensity.

  • Received 1 June 1999

DOI:https://doi.org/10.1103/PhysRevE.60.6429

©1999 American Physical Society

Authors & Affiliations

I. Schebesch and H. Engel

  • Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany

References (Subscription Required)

Click to Expand
Issue

Vol. 60, Iss. 6 — December 1999

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
×