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Title: Origin of chaotic transients in excitatory pulse-coupled networks
Authors: Zou, H.-L.
Li, M. 
Lai, C.-H. 
Lai, Y.-C.
Issue Date: 21-Dec-2012
Citation: Zou, H.-L., Li, M., Lai, C.-H., Lai, Y.-C. (2012-12-21). Origin of chaotic transients in excitatory pulse-coupled networks. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 86 (6) : -. ScholarBank@NUS Repository.
Abstract: We develop an approach to understanding long chaotic transients in networks of excitatory pulse-coupled oscillators. Our idea is to identify a class of attractors, sequentially active firing (SAF) attractors, in terms of the temporal event structure of firing and receipt of pulses. Then all attractors can be classified into two groups: SAF attractors and non-SAF attractors. We establish that long transients typically arise in the transitional region of the parameter space where the SAF attractors are collectively destabilized. Bifurcation behavior of the SAF attractors is analyzed to provide a detailed understanding of the long irregular transients. Although demonstrated using pulse-coupled oscillator networks, our general methodology may be useful in understanding the origin of transient chaos in other types of networked systems, an extremely challenging problem in nonlinear dynamics and complex systems. © 2012 American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
ISSN: 15393755
DOI: 10.1103/PhysRevE.86.066214
Appears in Collections:Staff Publications

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