Volume 99, Number 1, July 2012
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||16 July 2012|
Dynamics and formation of oscillatory patterns in complex directed networks consisting of excitable nodes
1 Department of Physics, Beijing Normal University - Beijing 100875, China
2 Center for Cognition and Brain Disorders, Hangzhou Normal University - Hangzhou, Zhejiang 310036, China
3 Center for Systems Biology, Soochow University - Suzhou, Jiangsu 215006, China
Received: 23 January 2012
Accepted: 18 June 2012
Self-sustained oscillations of excitable networks have been extensively studied. However, many properties of directed networks have still not been understood clearly. In this paper we explore the dynamics and pattern formation of strongly connected complex directed Boolean map (BM) networks with excitatory interactions by using synchronous updating policy. Several theorems on the oscillatory dynamics are proposed and rigorously proven by logical analysis. Based on these theorems, we can successfully predict the global asymptotic behaviors of networks from local initial conditions of few nodes in a single loop, and effectively control and modulate the oscillations of networks by modifying few links.
PACS: 89.75.Kd – Patterns / 05.65.+b – Self-organized systems / 89.75.Fb – Structures and organization in complex systems
© EPLA, 2012
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