Eur. Phys. J. B 51, 389-393 (2006)
https://doi.org/10.1140/epjb/e2006-00224-8

Spiral tip meandering induced by excitability modulation

¹ Department of Physics, Beijing Normal University, Beijing, 100875, P.R. China
² Chinese Center for Advanced Science and Technology (World Laboratory), Beijing, 8730, P.R. China

Corresponding author: ^a ganghu@bnu.edu.cn

Received: 31 January 2006
Revised: 27 March 2006
Published online: 13 June 2006

Abstract

In this work, we introduce a spatiotemporal modulation for excitability into an excitable medium, the Barkley model. The modulation can make the spiral wave tip meandering. Various types of periodic spiral and quasiperiodic meandering spiral motions can be observed numerically by varying the modulation. And the theoretical analysis for the conditions of Hopf bifurcation, based on an ordinary-differential-equation (ODE) model, is applied to well explain the rich behaviors of numerical simulations.