期刊
CHAOS SOLITONS & FRACTALS
卷 69, 期 -, 页码 233-245出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2014.10.009
关键词
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资金
- European Commission through the FP7 Marie Curie Initial Training Network [289146]
- Departamento Adminsitrativo de Ciencia Tecnologia e Innovacion - Colciencias through the program Doctorados en el exterior
We study the dynamical stability of pulse coupled networks of leaky integrate-and-fire neurons against infinitesimal and finite perturbations. In particular, we compare mean versus fluctuations driven networks, the former (latter) is realized by considering purely excitatory (inhibitory) sparse neural circuits. In the excitatory case the instabilities of the system can be completely captured by an usual linear stability (Lyapunov) analysis, whereas the inhibitory networks can display the coexistence of linear and nonlinear instabilities. The nonlinear effects are associated to finite amplitude instabilities, which have been characterized in terms of suitable indicators. For inhibitory coupling one observes a transition from chaotic to non chaotic dynamics by decreasing the pulse-width. For sufficiently fast synapses the system, despite showing an erratic evolution, is linearly stable, thus representing a prototypical example of stable chaos. (C) 2014 Elsevier Ltd. All rights reserved.
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