کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4640752 | 1341286 | 2010 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A hyperchaotic system from the Rabinovich system A hyperchaotic system from the Rabinovich system](/preview/png/4640752.png)
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.
Journal: Journal of Computational and Applied Mathematics - Volume 234, Issue 1, 1 May 2010, Pages 101–113