Stochastic Resonance in a Time-Delayed Logistic Growth Model Driven by Periodic Signal and White Noise
- Resource Type
- Authors
- Chong Qiu Fang; Yu Rong Zhou
- Source
- Applied Mechanics and Materials. :703-707
- Subject
- Periodic function
Stochastic resonance
Multiplicative function
Statistics
General Medicine
White noise
Statistical physics
Function (mathematics)
Logistic function
Noise (electronics)
Expression (mathematics)
Mathematics
- Language
- ISSN
- 1662-7482
stochastic resonance; time-delayed Logistic growth model; signal-to-noise ratio Abstract. The stochastic resonance in a time-delayed Logistic growth model subject to correlated multiplicative and additive white noise as well as to multiplicative periodic signal is investigated. Using small time delay approximation, we get the expression of the signal-to-noise ratio (SNR). It is found that the SNR is a non-monotonic function of the system parameters, of the intensities of the multiplicative and additive noise, as well as of the correlation strength between the two noises. The effects of the delay time in the random force is in opposition to that of the delay time in the deterministic force.