| publication name | Ouannas A, Azar AT, Vaidyanathan S. A Robust Method For New Fractional Hybrid Chaos Synchronization. Mathematical Methods in the Applied Sciences. [ISI Indexed: Impact Factor: 1.002]. |
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| Authors | |
| year | 2016 |
| keywords | fractional chaos; coexistence; generalized synchronization; inverse generalized synchronization |
| journal | Mathematical Methods in the Applied Sciences |
| volume | Not Available |
| issue | Not Available |
| pages | Not Available |
| publisher | John Wiley & Sons, Ltd. |
| Local/International | International |
| Paper Link | http://onlinelibrary.wiley.com/doi/10.1002/mma.4099/abstract |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In this paper, a robust mathematical method is proposed to study a new hybrid synchronization type, which is a combining generalized synchronization and inverse generalized synchronization. The method is based on Laplace transformation, Lyapunov stability theory of integer-order systems and stability theory of linear fractional systems. Sufficient conditions are derived to demonstrate the coexistence of generalized synchronization and inverse generalized synchronization between different dimensional incommensurate fractional chaotic systems.Numerical test of themethod is used.