Coherence resonance in a network of FitzHugh-Nagumo systems: interplay of noise, time-delay and topology
arXiv:1709.03336 · doi:10.1063/1.5003237
Abstract
We systematically investigate the phenomena of coherence resonance in time-delay coupled networks of FitzHugh-Nagumo elements in the excitable regime. Using numerical simulations, we examine the interplay of noise, time-delayed coupling and network topology in the generation of coherence resonance. In the deterministic case, we show that the delay-induced dynamics is independent of the number of nearest neighbors and the system size. In the presence of noise, we demonstrate the possibility of controlling coherence resonance by varying the time-delay and the number of nearest neighbors. For a locally coupled ring, we show that the time-delay weakens coherence resonance. For nonlocal coupling with appropriate time-delays, both enhancement and weakening of coherence resonance are possible.
References in corpus (13)
- Coherence-resonance chimeras in a network of excitable elements
- Delayed feedback as a means of control of noise-induced motion
- Phase synchronization in coupled nonidentical excitable systems and array enhanced coherence resonance
- Time-delayed feedback in neurosystems
- Coherence Resonance and Noise-Induced Synchronization in Globally Coupled Hodgkin-Huxley Neurons
- Moment Closure - A Brief Review
- Extreme events in Fitzhugh-Nagumo oscillators coupled with two time delays
- Noise-induced cooperative dynamics and its control in coupled neuron models
- Dynamics of delay-coupled excitable neural systems
- Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: theory versus experiment
- Modulating coherence resonance in non-excitable systems by time-delayed feedback
- Collective stochastic coherence and synchronizability in weighted scale-free networks
- Noise-induced synchronization in bidirectionally coupled type-I neurons
Cited by in corpus (18)
- Weak multiplexing in neural networks: Switching between chimera and solitary states
- Control of coherence resonance by self-induced stochastic resonance in a multiplex neural network
- Control of coherence resonance in multiplex neural networks
- Coherence resonance in neuronal populations: mean-field versus network model
- Optimal self-induced stochastic resonance in multiplex neural networks: electrical versus chemical synapses
- Coherence resonance in influencer networks
- Delay engineered solitary states in complex networks
- Identification of Chimera using Machine Learning
- Multiplexing-based control of stochastic resonance
- Neuronal coupling benefits the encoding of weak periodic signals in symbolic spike patterns
- Combined effects of STDP and homeostatic structural plasticity on coherence resonance
- Stochastic control of spiking activity bump expansion: monotonic and resonant phenomena
- Mitigation of extreme events in an excitable system
- Chimera states in ensembles of excitable FitzHugh-Nagumo systems
- Multiplexing-based control of wavefront propagation: the interplay of inter-layer coupling, asymmetry and noise
- Diversity-induced decoherence
- Self-oscillation excitation under condition of positive dissipation in a state-dependent potential well
- Edges of inter-layer synchronization in multilayer networks with time-switching links