Study of hidden attractors, multiple limit cycles from Hopf bifurcation and boundedness of motion in the generalized hyperchaotic Rabinovich system

摘要: Based on Rabinovich system, a 4D system is generalized to study hidden attractors, multiple limit cycles and boundedness of motion. In the sense coexisting remarkable finding that proposed has hyperchaotic attractors around unique stable equilibrium. To understand complex dynamics some basic properties, such as Lyapunov exponents, way producing hyperchaos are analyzed with numerical simulation. Moreover, it proved there exist four small-amplitude bifurcating from equilibrium via Hopf bifurcation. Finally, motion rigorously proved.