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.

Original languageEnglish (US)
Article number066214
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume86
Issue number6
DOIs
StatePublished - Dec 21 2012

Fingerprint

Nonlinear Dynamics
Attractor
pulses
Coupled Oscillators
oscillators
Event Structures
Nonlinear Dynamic System
complex systems
Parameter Space
chaos
Irregular
Complex Systems
Chaos
Bifurcation
methodology
Methodology

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Medicine(all)

Cite this

Origin of chaotic transients in excitatory pulse-coupled networks. / Zou, Hai Lin; Li, Menghui; Lai, Choy Heng; Lai, Ying-Cheng.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 86, No. 6, 066214, 21.12.2012.

Research output: Contribution to journalArticle

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