Collective behavior of heterogeneous neural networks

Abstract

We investigate a network of integrate-and-fire neurons characterized by a distribution of spiking frequencies. Upon increasing the coupling strength, the model exhibits a transition from an asynchronous regime to a nontrivial collective behavior. At variance with the Kuramoto model, (i) the macroscopic dynamics is irregular even in the thermodynamic limit, and (ii) the microscopic (single-neuron) evolution is linearly stable.

4 pages, 5 figures

References in corpus (5)

• Stable Irregular Dynamics in Complex Neural Networks
• Desynchronized stable states in diluted neural networks
• Desynchronization in diluted neural networks
• Collective Atomic Recoil Laser as a synchronization transition
• How Chaotic is the Balanced State?

Cited by in corpus (29)

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• Chimera patterns in two-dimensional networks of coupled neurons
• From quasiperiodic partial synchronization to collective chaos in populations of inhibitory neurons with delay
• Chaos in Symmetric Phase Oscillator Networks
• Collective dynamics in sparse networks
• Chimeras in Leaky Integrate-and-Fire Neural Networks: Effects of Reflecting Connectivities
• On the equivalence of phase-oscillator and integrate-and-fire models
• Onset of Synchronization in Complex Networks of Noisy Oscillators
• Coherent oscillations in balanced neural networks driven by endogenous fluctuations
• Self-sustained irregular activity in an ensemble of neural oscillators
• Cross frequency coupling in next generation inhibitory neural mass models
• Death and rebirth of neural activity in sparse inhibitory networks
• Collective irregular dynamics in balanced networks of leaky integrate-and-fire neurons
• Cooperation in Neural Systems: Bridging Complexity and Periodicity
• Ubiquity of collective irregular dynamics in balanced networks of spiking neurons
• From phase to amplitude oscillators
• Mean field approximation of two coupled populations of excitable units
• Stable chaos in fluctuation driven neural circuits
• Neural Activity of Heterogeneous Inhibitory Spiking Networks with Delay
• Collective dynamics in the presence of finite-width pulses
• Irregular collective dynamics in a Kuramoto-Daido system
• Spike-Phase Coupling As an Order Parameter in a Leaky Integrate-and-Fire Model
• A robust balancing mechanism for spiking neural networks
• Partially unstable attractors in networks of forced integrate-and-fire oscillators
• Delay-enhanced coherent chaotic oscillations in networks with large disorders
• Multi-chimera states in the Leaky Integrate-and-Fire model
• Critical behaviour at the onset of synchronization in a neuronal model
• Synchronization patterns in LIF Neural Networks: Merging Nonlocal and Diagonal Connectivity