Abstract
The stochastic resonance (SR) of two coupled fractional harmonic oscillators with a dichotomous fluctuating mass is investigated. The complete synchronization between the average behaviors of the two oscillators is obtained, and the analytical expression of the output amplitude gain (OAG) is derived. The SR of the coupling system is analyzed based on the analytical results. Coupling strength and fractional order exert important influences on the SR behavior of OAG. They can not only control the emergence of SR, but also optimize the resonance intensity. Numerical simulations are also performed to provide an intuitive understanding of the theoretical results.
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