Hyperchaotic system from controlled Rabinovich system
受控Rabinovich系统的超混沌系统

A new four-dimensional continuous autonomous hyperchaotic system is presented, which is constructed by adding a linear controller to the famous three-dimensional Rabinovich system. Some basic dynamical behaviors of the hyperchaotic system are further investigated. The corresponding bounded hyperchaotic and chaotic attractor are first numerically verified through investigating phase trajectories, Lyapunove exponents, bifurcation path and the analysis of power spectrum and Poincaré projections. Furthermore, the global exponential attractive set and positive invariant set are found for the four-dimensional Rabinovich system; and the strict mathematical proofs are given. Moreover, it is implemented in an electronic circuit and tested experimentally in our laboratory, showing very good agreement between experimental results with the simulation results and validating this new four-dimensional chaotic and hyperchaotic system.