Control and synchronize a novel hyperchaotic system. (English) Zbl 1191.37026
The author has considered a controlled hyperchaotic system with a one component controller. The author proved that the controlled hyperchaotic system converges to origin as the unstable equilibrium point under a special controller. Then the author showed that the hyperchaotic system will be controlled to a periodic orbit and quasi-periodic orbit. Then the author has changed the scalar controller to a vector controller and proved that it is globally and asymptotically hybrid projective synchronized with the hyperchaotic system under a special non-linear feedback controller. Also numerical simulations are presented using of Matlab.
Reviewer: Mohammad Reza Molaei (Kerman)
MSC:
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
Keywords:
hyperchaos control; hybrid projective synchronization; scalar controller; nonlinear feedback controller; Lyapunov’s direct method; Routh-Hurwitz criterionSoftware:
MatlabReferences:
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