Structure and control of self-sustained target waves in excitable small-world networks
arXiv:1001.2816 · doi:10.1103/PhysRevE.81.036101
Abstract
Small-world networks describe many important practical systems among which neural networks consisting of excitable nodes are the most typical ones. In this paper we study self-sustained oscillations of target waves in excitable small-world networks. A novel dominant phase-advanced driving (DPAD) method, which is generally applicable for analyzing all oscillatory complex networks consisting of nonoscillatory nodes, is proposed to reveal the self-organized structures supporting this type of oscillations. The DPAD method explicitly explores the oscillation sources and wave propagation paths of the systems, which are otherwise deeply hidden in the complicated patterns of randomly distributed target groups. Based on the understanding of the self-organized structure, the oscillatory patterns can be controlled with extremely high efficiency.
arXiv comment16 pages 5 figures
References in corpus (6)
- Emergence of scaling in random networks
- Scale-free brain functional networks
- Fast Response and Temporal Coding on Coherent Oscillations in Small-World Networks
- Self-sustained activity in a small-world network of excitable neurons
- Emergence of self-sustained patterns in small-world excitable media
- Long Chaotic Transients in Complex Networks
Cited by in corpus (9)
- Pattern formation in oscillatory complex networks consisting of excitable nodes
- Perspective: network-guided pattern formation of neural dynamics
- Activation process in excitable systems with multiple noise sources: Large number of units
- Universal driving structure of self-sustained oscillatory complex networks
- Self-Sustaining Oscillations in Complex Networks of Excitable Elements
- Sensitive Dependence of Optimal Network Dynamics on Network Structure
- Complex self-sustained oscillation patterns in modular excitable networks
- Recovery of activation propagation and self-sustained oscillation abilities in stroke brain networks
- Nonlinear waves on circle networks with excitable nodes