Abstract
In our work, resonance behaviors in a Jerk oscillator subject to a generalized Mittag-Leffler (GML) noise and a trichotomous multiplicative noise have been studied. One of the important results is that the spectral amplification (SPA) is derived from the generalized Shapiro–Loginov formula. Particularly, it is found that generalized stochastic resonance (GSR) in a Jerk oscillator could be induced by GML noise or trichotomous noise. And behaviors of GSR have been widely investigated. Furthermore, the GSR, bona fide SR, reverse SR phenomenon, decreasing multi-resonance, and increasing multi-resonance have been found. It is found that GML noise can also induce periodic resonance phenomenon.
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