Effects of time-delay in stationary properties of a logistic growth model with correlated noises

Du, Lingling; Dong-Cheng, Mei

doi:10.1016/j.physa.2009.11.035

Cited by 6 publications

(2 citation statements)

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“…Recently, the SR of a time-delayed bistable system has received considerable attention [27][28][29][30][34][35][36][37][38]. It is of interest to study the stochastic systems with time-delayed feedback since the time delay is ubiquitous in natural phenomena.…”

Section: Introductionmentioning

confidence: 99%

“…Delayed feedback also gives a means of controlling noise-induced motion in the van der Pol system closely before the Hopf bifurcation [38]. The appearance of time delay reflects the finite transmission time related to the transport of matter, energy and information through the systems [13,[34][35][36][37][38]. Recent papers only considered small delay in the adiabatic regime of SR of a bistable system [28][29][30].…”

Section: Introductionmentioning

confidence: 99%

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Amplification of weak signals via the non-adiabatic regime of stochastic resonance in a bistable dynamical system with time delay

Du¹,

Mei²

2011

Phys. Scr.

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The non-adiabatic regime of stochastic resonance (SR) in a bistable system with time delay, an additive white noise and a periodic signal was investigated. The signal power amplification η was employed to characterize the SR of the system. The simulation results indicate that (i) in the case of intermediate frequency of the periodic signal, the typical behavior of SR is lowered monotonically by increasing the delay time τ ; in the case of large , τ weakens the SR behavior and then enhances it, with a non-monotonic behavior as a function of time delay; (ii) time delay induces SR when A is above the threshold, whereas no such resonance exists in the absence of time delay; (iii) time delay induces a transition from bimodal to unimodal configuration of η; (iv) varying the particular form of time delay results in different phenomena.

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