Delay Induced Excitability

Abstract

We analyse the stochastic dynamics of a bistable system under the influence of time-delayed feedback. Assuming an asymmetric potential, we show the existence of a regime in which the systems dynamic displays excitability by calculating the relevant residence time distributions and correlation times. Experimentally we then observe this behaviour in the polarization dynamics of a vertical cavity surface emitting laser with opto-electronic feedback. Extending these observations to two-dimensional systems with dispersive coupling we finally show numerically that delay induced excitability can lead to the appearance of propagating wave-fronts and spirals.

5 pages, 6 figures

References in corpus (5)

• Noise-induced dynamics in bistable systems with delay
• Delayed feedback as a means of control of noise-induced motion
• Coupled three-state oscillators
• Oscillatory correlation of delayed random walks
• Collective dynamics of two-mode stochastic oscillators

Cited by in corpus (6)

• Solitary and Coupled Semiconductor Ring Lasers as Optical Spiking Neurons
• Stochastic Resonance in Time-delayed Bistable Systems Driven by Weak Periodic Signal
• Force-linearization closure for non-Markovian Langevin systems with time delay
• Excitable systems with noise and delay with applications to control: renewal theory approach
• Limit Cycles and Chaos Induced by a Nonlinearity with Memory
• Delay induced bifurcation of dominant transition pathways