Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: theory versus experiment
arXiv:1412.1361 · doi:10.1063/1.4915066
Abstract
Using the model of a generalized Van der Pol oscillator in the regime of subcritical Hopf bifurcation we investigate the influence of time delay on noise-induced oscillations. It is shown that for appropriate choices of time delay either suppression or enhancement of coherence resonance can de achieved. Analytical calculations are combined with numerical simulations and experiments on an electronic circuit.
References in corpus (7)
- Delayed feedback as a means of control of noise-induced motion
- Anticipating the response of excitable systems driven by random forcing
- Coherence Resonance in Chaotic Systems
- Modulating coherence resonance in non-excitable systems by time-delayed feedback
- Control of coherence resonance in semiconductor superlattices
- Pitchfork and Hopf bifurcation thresholds in stochastic equations with delayed feedback
- Stochastic description of delayed systems
Cited by in corpus (19)
- Coherence-resonance chimeras in a network of excitable elements
- Time-delayed feedback control of coherence resonance chimeras
- Coherence resonance in a network of FitzHugh-Nagumo systems: interplay of noise, time-delay and topology
- Distinct collective states due to the trade-off between attractive and repulsive couplings
- Control of coherence resonance by self-induced stochastic resonance in a multiplex neural network
- Coherence resonance in neuronal populations: mean-field versus network model
- Control of coherence resonance in multiplex neural networks
- Resumption of dynamism in damaged networks of coupled oscillators
- Delay-induced self-oscillation excitation in the FitzHugh-Nagumo model: regular and chaotic dynamics
- Noise-induced transitions in a double-well excitable oscillator
- Chimeras and clusters in networks of hyperbolic chaotic oscillators
- Synchronization of organ pipes
- Chimera states and the interplay between initial conditions and non-local coupling
- Chimera states in ensembles of excitable FitzHugh-Nagumo systems
- Subcritical Andronov-Hopf scenario for systems with a line of equilibria
- Asymmetric cluster and chimera dynamics in globally coupled systems
- Self-oscillation excitation under condition of positive dissipation in a state-dependent potential well
- Noise-induced chimera states in a neural network
- Controlling chaos in some laser systems via variable coupling and feedback time delay