DYNAMICS IN EXCITABLE MEDIA SUBJECTED TO A SPECIFIC SPATIOTEMPORAL WAVE UNDER TWO SCHEMES

Abstract

The dynamics in excitable media driven by a specific spatiotemporal wave are studied by investigating wave states, the motion of tips and synchronized behaviors. We demonstrate that multiple-armed spiral waves can be generated in excitable media with rest initial conditions by directly injecting a rigidly rotating spiral wave, also that the meandering driver can induce the spiral wave, with the wider excited parts and the same frequency as the driving wave, in the driven system. It is more interesting to find that the higher similarity between the driving and driven waves occurs when the driving strength is smaller. We also study the dynamics of spiral waves in the driven system when the external driving wave is introduced by the form of difference, and find that the stronger synchronized behaviors appear when the driving strength is larger. The dynamical behaviors can be understood by considering various characteristics of the excitable system, for example the existence of "refractory period" and "vulnerable period" and so on.