A hyperchaotic system from the Rabinovich system
A four-dimensional system as an extension of three dimensional Rabinovich system is studied. It is proved that the presented system is a hyperchaotic system for a special value of parameters. In fact two positive Lyapunov exponents for the system have detected. The authors also proved that the four-dimensional system has z-axis symmetry and its attractor has double-lobe structure such as the Robinovich system. The existence of a Hopf bifurcation at the origin for a special value of the controller parameter has proved. Lyapunov exponents and bifurcation have investigated numerically. The suggested system is a new system for understanding the hyperchaotic behavior.
scientific article; zbMATH DE number 5696567
scientific article