Name
Abstract | ||
|---|---|---|
This paper presents a 4D new hyperchaotic system which is constructed by a linear controller to a 3D Lu system. Some complex dynamical behaviors such as Hopf bifurcation, chaos and hyperchaos of the simple 4D autonomous system are investigated and analyzed. The corresponding hyperchaotic and chaotic attractor is first numerically verified through investigating phase trajectories, Lyapunove exponents, bifurcation path, analysis of power spectrum and Poincare projections. Furthermore, the design is illustrated with both simulations and experiments. Finally, the control problem of a new hyperchaotic system is investigated using negative feedback control. Ordinary feedback control, dislocated feedback control and speed feedback control are used to suppress hyperchaos to an unstable equilibrium. Numerical simulations are presented to demonstrate the effectiveness of the proposed controllers. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.cam.2010.11.029 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
autonomous system,dislocated feedback control,speed feedback control,hopf bifurcation,corresponding hyperchaotic,ordinary feedback control,negative feedback control,lu system,control problem,new hyperchaotic system,dislocations,feedback control,power spectrum,lyapunov exponent,numerical simulation,complex dynamics,negative feedback,lyapunov exponents,path analysis | Attractor,Control theory,Control theory,Negative feedback,Autonomous system (mathematics),Control system,Lyapunov exponent,Hopf bifurcation,Mathematics,Bifurcation | Journal |
Volume | Issue | ISSN |
235 | 8 | 0377-0427 |
Citations | PageRank | References |
15 | 1.25 | 14 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shouquan Pang | 1 | 17 | 1.64 |
| Yongjian Liu | 2 | 42 | 6.54 |