Noise-enhanced stability in the time-delayed Mackey–Glass system

• Published in: Indian journal of physics Vol. 89; no. 12; pp. 1321 - 1326
• Main Authors: Zhang, J. Q., Chen, R. Y., Nie, L. R.
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01-12-2015; Springer Nature B.V
• Subjects: Astrophysics and Astroparticles; Delay; Dynamical systems; Dynamics; Emotions; Noise; Original Paper; Physics; Physics and Astronomy; Simulation; Stability; Stochastic models; Stochasticity; Time delay; 05.40.-a; Stability; Time delay; Mackey–Glass system; 02.50.-r; Noises
• ISSN: 0973-1458; 0974-9845
• DOI: 10.1007/s12648-015-0699-3

The time-delayed Mackey–Glass system driven by correlated multiplicative and additive noises is studied by means of stochastic simulations of mean first-passage time that a particle takes from one stable state to the other state. The calculative results show that the bistable system exhibits noise-induced effects different from the bistable system with a quartic potential. In addition, there is a noise-enhanced stability phenomenon due to the delay time of the model system. Our results have the implication that the combination of correlated noises and time delay could provide an efficient tool for opening out stochastic dynamical behaviors of the time-delayed Mackey–Glass system.