Stochastic resonance of two coupled fractional harmonic oscillators in Jerk equation

Abstract

The stochastic resonance (SR) phenomenon in two coupled fractional harmonic oscillators with inherent frequency, employing the Jerk equation under the influence of multiplicative dichotomous noise and an applied periodic force have been investigated in our paper. It is worthwhile to mention that the phenomenon of generalized stochastic resonance (GSR) has been extensively discussed experimentally and theoretically in various fields. The coupling strength and fractional order can enhance or suppress the resonance intensity. We found that the GSR, reverse SR phenomenon, bona fide SR, stochastic multi-resonance (SMR) phenomena. Furthermore, numerical simulations are carried out in support of theoretical analyses. It is remarkable that two coupled oscillators are subjected to a multiplicative dichotomous noise in the Jerk equation, which was seldom explored.

Keywords

• Jerk equation
• Coupled harmonic oscillators
• Stochastic resonance
• Complete synchronization