Chaos and correlated avalanches in excitatory neural networks with synaptic plasticity

Abstract

A collective chaotic phase with power law scaling of activity events is observed in a disordered mean field network of purely excitatory leaky integrate-and-fire neurons with short-term synaptic plasticity. The dynamical phase diagram exhibits two transitions from quasi-synchronous and asynchronous regimes to the nontrivial, collective, bursty regime with avalanches. In the homogeneous case without disorder, the system synchronizes and the bursty behavior is reflected into a doubling-period transition to chaos for a two dimensional discrete map. Numerical simulations show that the bursty chaotic phase with avalanches exhibits a spontaneous emergence of time correlations and enhanced Kolmogorov complexity. Our analysis reveals a mechanism for the generation of irregular avalanches that emerges from the combination of disorder and deterministic underlying chaotic dynamics.

arXiv comment5 pages 5 figures; SI 26 pages 14 figures. Improved editing, 3 subsections added in SI

References in corpus (21)

• Emergent complex neural dynamics
• Optimal Dynamical Range of Excitable Networks at Criticality
• Dynamical synapses causing self-organized criticality in neural networks
• Macroscopic description for networks of spiking neurons
• Self-Organized Criticality model for Brain Plasticity
• Power-law statistics and universal scaling in the absence of criticality
• Can power-law scaling and neuronal avalanches arise from stochastic dynamics?
• Transition to chaos in random neuronal networks
• Self-organization without conservation: true or just apparent scale-invariance?
• Self-organization without conservation: Are neuronal avalanches generically critical?
• Desynchronized stable states in diluted neural networks
• Desynchronization in diluted neural networks
• Self-Organized Bistability Associated With First-Order Phase Transitions
• From quasiperiodic partial synchronization to collective chaos in populations of inhibitory neurons with delay
• Collective oscillations in disordered neural networks
• Irregular dynamics in up and down cortical states
• Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics
• Sequential Desynchronization in Networks of Spiking Neurons with Partial Reset
• Self-sustained irregular activity in an ensemble of neural oscillators
• Heterogeneous Mean Field for neural networks with short term plasticity
• A microscopic mechanism for self-organized quasi periodicity in random networks of non linear oscillators

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