Abstract
We investigate numerically the effects of time delay on the phenomenon ofnoise-enhanced stability (NES) in a periodically modulated bistable system. Three typesof time-delayed feedback, including linear delayed feedback, nonlinear delayedfeedback and global delayed feedback, are considered. We find a non-monotonicbehaviour of the mean first-passage time (MFPT) as a function of the delay timeτ, with a maximum in the case of linear delayed feedback and with a minimumin the case of nonlinear delayed feedback. There are two peculiar values ofτ aroundwhich the NES phenomenon is enhanced or weakened. For the case of global delayed feedback, the increaseof τ always weakens the NES phenomenon. Moreover, we also show that the amplitudeA and thefrequency Ω of the periodic forcing play an opposite role in the NES phenomenon, i.e. the increase ofA weakens the NES effect while the increase ofΩ enhances it. These observations demonstrate that the time-delayed feedback can be used asa feasible control scheme for the NES phenomenon.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Statistical Mechanics: Theory and Experiment
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
