Name
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 Lienard-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 Poincare projections. Finally, two complete mathematical characterizations for 4D Hopf bifurcation are rigorously derived and studied. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cam.2009.12.008 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
autonomous system,rabinovich system,hyperchaotic system,hopf bifurcation,poincare projection,rabinovich chaotic system,lyapunov exponent,corresponding bounded hyperchaotic,chaotic attractors,bifurcation path,lienard-like oscillatory motion,complex dynamics,lyapunov exponents,bifurcation | Attractor,Mathematical analysis,Stationary point,Autonomous system (mathematics),Chaotic,Lyapunov exponent,Hopf bifurcation,Mathematics,Bifurcation,Bounded function | Journal |
Volume | Issue | ISSN |
234 | 1 | 0377-0427 |
Citations | PageRank | References |
8 | 0.67 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yongjian Liu | 1 | 42 | 6.54 |
| Qigui Yang | 2 | 169 | 26.54 |
| Guoping Pang | 3 | 18 | 3.67 |