Global dynamics of the stochastic Rabinovich system

摘要: In this paper, the global dynamics of deterministic Rabinovich system and stochastic are analyzed compared. First, important feature is briefly recalled analyzed; then globally exponentially attractive set positive invariant given. Second, by using theory differential equation Lyapunov function, asymptotic behavior Ito-type Stratonovich-type discussed. Third, to illustrate effects clearly, simulations for case corresponding performed, respectively. And unstable results numerically verified through Heidelberg Welch test R project. The obtaining show that stability occur change significantly under disturbance. Even same parameter conditions, different-type has marked differences. Further, from dynamical phenomenological point, pitchfork bifurcation analyzed. Results position where at equilibrium point occurs will as intensity white noise change.