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Bifurcation and attractor of the stochastic Rabinovich system with jump
Preview AbstractIn this paper, the bifurcation and attractor of the stochastic Rabinovich system with jump are discussed, and some new results for the system are presented. First, the sufficient condition and necessary condition for stochastic stability of the system are given. Second, the estimation of the global attractive set of system is obtained. The existence of random attractors of the stochastic Rabinovich system with jump is also discussed. Finally, stochastic bifurcation behavior for the system is analyzed. It is hoped that the investigation of this paper can help understanding the rich dynamic of the stochastic Rabinovich system and the true geometrical structure of the original amazing Rabinovich attractor.