Title of article :
A hyperchaotic system from the Rabinovich system
Author/Authors :
Liu، نويسنده , , Yongjian and Yang، نويسنده , , Qigui and Pang، نويسنده , , Guoping، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Abstract :
This paper presents a new 4D hyperchaotic system which is constructed by a linear controller to the 3D Rabinovich chaotic system. Some complex dynamical behaviors such as boundedness, chaos and hyperchaos of the 4D autonomous system are investigated and analyzed. A theoretical and numerical study indicates that chaos and hyperchaos are produced with the help of a Liénard-like oscillatory motion around a hypersaddle stationary point at the origin. The corresponding bounded hyperchaotic and chaotic attractors are first numerically verified through investigating phase trajectories, Lyapunov exponents, bifurcation path and Poincaré projections. Finally, two complete mathematical characterizations for 4D Hopf bifurcation are rigorously derived and studied.
Keywords :
Hyperchaos , Ultimate boundedness , Lyapunov exponents , Bifurcation
Journal title :
Journal of Computational and Applied Mathematics
Journal title :
Journal of Computational and Applied Mathematics