Abstract
The stochastic resonance in a fractional linear system with random viscous damping driven by a dichotomous noise and signal-modulated noise is investigated. By the use of the properties of the noises and the Shapiro-Loginov formula and Laplace transform technology, the exact expression for the mean output-amplitude-gain (OAG) of the system is obtained. The non-monotonic influence of the viscous damping of the oscillator on the OAG is found. It is shown that the OAG is a non-monotonic function of the intensity and the correlation rate of the dichotomous noise. The OAG varies non-monotonically with the friction coefficient, with the frequency of the driving signal, with the frequency of the linear oscillator, as well as with the fractional exponent of the fractional oscillator.
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 callDisclaimer: 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.
