
Instability of spiral wave in small-world networks
Author(s) -
Gan Zheng-Ning,
Jun Ma,
Guoyong Zhang,
Yong Chen
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.5400
Subject(s) - instability , spiral (railway) , physics , richtmyer–meshkov instability , mechanics , mathematics , mathematical analysis
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.