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Using a FitzHugh-Nagumo system as an example, we studied the stabilities of spiral waves in two-dimensional small-world network. It was found that there exists a critical rewiring probability p such that the spiral instability appears for p>pc due to the small-world connectivity. It was also confirmed that this spiral instability is different from the Eckhaus instability and the Doppler instability.
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Keywords:
- spiral wave /
- instability /
- small-world networks /
- rewiring probability
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