Journal
PHYSICS LETTERS A
Volume 374, Issue 31-32, Pages 3185-3189Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2010.05.056
Keywords
Coupled logistic maps; Dynamically random rewiring; Rewiring time period; Synchronizing efficiency
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Funding
- National Basic Research Program of China [2010CB923200]
- Specialized Research Fund for the Doctoral Program of Higher Education of China [20070013027]
- National Natural Science Foundation of China [60821001]
- Foundation for the Author of National Excellent Doctoral Dissertation of PR China (FANEDD) [200951]
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The dynamics of weakly coupled chaotic maps in which the connections are rewired randomly with varying probability P and rewiring period T is investigated. In contrast to rapidly switched random links enhancing spatiotemporal regularity in strong-coupling regime, rewiring the network with certain rewiring period T contributes to the stability of synchronized cycles in a weak-coupling range, the reason of which is that unstable kink-patterns emerge and need some time steps to vanish. Furthermore, the synchronized basin size B for different period T is given. We observed an interesting phenomenon that basin B is relatively large when T is even in the range of small values of T. Finally, the synchronizing efficiency with respect to T is discussed and we found T = 2 is the most efficient. (C) 2010 Elsevier By. All rights reserved.
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