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| We introduce an excitable RD system to imitate cardiac cell activities and
observe the stabilities of periodic traveling wave solutions. There are two families of wave trains, fast and slow. The fast family is basically stable in the case of FitzHugh-Nagumo system which is one of the typical excitable systems. However, we can observe that the fast wave train becomes unstable in our model and as a result bifurcates to an oscillatory wave. We shall explain this phenomena by calculating the essential spectrum numerically. |
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