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CHAOS AND STABILITY IN A MODEL OF INHIBITORY NEURONAL NETWORK

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Publication:3567258
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DOI10.1142/S0218127410025806zbMath1188.34050arXiv1106.4081OpenAlexW3104084720MaRDI QIDQ3567258

Eleonora Catsigeras

Publication date: 11 June 2010

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4081


zbMATH Keywords

limit cyclesneuronal networkschaotic setspiecewise continuous dynamics


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural networks for/in biological studies, artificial life and related topics (92B20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)


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Integrate and fire neural networks, piecewise contractive maps and limit cycles ⋮ Frequency locking and travelling burst sequences in community structured network of inhibitory neurons with differing time-scales ⋮ On the asymptotic properties of piecewise contracting maps



Cites Work

  • Limit cycles of a bineuronal network model
  • Synchronization of Pulse-Coupled Biological Oscillators
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