Multiple attractors, long chaotic transients, and failure in small-world networks of excitable neurons

DOI10.1063/1.2743611zbMath1159.37386arXivq-bio/0701047OpenAlexW1991043735WikidataQ50960598 ScholiaQ50960598MaRDI QIDQ3624823

Hermann Riecke, Sara A. Solla, Alex Roxin, Santiago Madruga

Publication date: 30 April 2009

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-bio/0701047

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (13)

Complex patterns in networks of hyperexcitable neurons ⋮ Complex dynamics of a four neuron network model having a pair of short-cut connections with multiple delays ⋮ Stochastic spike synchronization in a small-world neural network with spike-timing-dependent plasticity ⋮ Transient chaotic rotating waves in a ring of unidirectionally coupled symmetric Bonhoeffer-van der Pol oscillators near a codimension-two bifurcation point ⋮ Metastability and chimera states in modular delay and pulse-coupled oscillator networks ⋮ Regulation of self-sustained target waves in excitable small-world networks ⋮ The shaping of intrinsic membrane potential oscillations: positive/negative feedback, ionic resonance/amplification, nonlinearities and time scales ⋮ Analysis and control of multiple attractors in Sprott B system ⋮ Control of multistability ⋮ SPATIAL COHERENCE RESONANCE IN DELAYED HODGKIN–HUXLEY NEURONAL NETWORKS ⋮ Impact of bounded noise and shortcuts on the spatiotemporal dynamics of neuronal networks ⋮ Introduction: Optimization in networks ⋮ Complex regimes in electronic neuron-like oscillators with sigmoid coupling

Cites Work

• Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons
• Statistical mechanics of complex networks
• Spatiotemporal dynamics of networks of excitable nodes
• Collective dynamics of ‘small-world’ networks
• Bursting Without Slow Kinetics: A Role for a Small World?
• Traveling fronts and wave propagation failure in an inhomogeneous neural network

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