A new fractional order hyperchaotic Rabinovich system and its dynamical behaviors

In the paper, the dynamical behaviors of a new fractional order hyperchaotic Rabinovich system are investigated, which include its local stability, hyperchaos, chaotic control and synchronization. Firstly, a new fractional order hyperchaotic Rabinovich system with Caputo derivative is proposed. Then...

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Bibliographic Details
Published in:International journal of non-linear mechanics 2017-10, Vol.95, p.73-81
Main Authors: He, Jin-Man, Chen, Fang-Qi
Format: Article
Language:English
Subjects:
Active control
Chaos theory
Computer simulation
Control stability
Controllers
Feedback control
Fractional dynamics
Hyperchaotic Rabinovich system
Mechanics
Simulation
Synchronism
Synchronization
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Summary:In the paper, the dynamical behaviors of a new fractional order hyperchaotic Rabinovich system are investigated, which include its local stability, hyperchaos, chaotic control and synchronization. Firstly, a new fractional order hyperchaotic Rabinovich system with Caputo derivative is proposed. Then, the hyperchaotic attractors of the commensurate and incommensurate fractional order hyperchaotic Rabinovich system are found. After that, four linear feedback controllers are designed to stabilize this fractional order system Finally, by using the active control method the synchronization is studied between the fractional order hyperchaotic and chaos controlled Rabinovich system In addition, the theoretical predictions are confirmed by numerical simulations. •A new fractional hyperchaotic Rabinovich system is proposed.•Hyperchaotic attractors of the commensurate and incommensurate system are found.•Four linear feedback controllers are designed to stabilize this fractional order system.•Synchronization is studied between the fractional chaotic and non-chaotic Rabinovich system.•The theoretical predictions are confirmed by numerical simulations.
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2017.05.013