Staff Members - Benha University
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].
Mathematical Methods in the Applied Sciences • 2016
Publication Information
Authors
Not Available
Keywords
fractional chaos; coexistence; generalized synchronization; inverse generalized synchronization
Journal
Mathematical Methods in the Applied Sciences
Publisher
John Wiley & Sons, Ltd.
Volume
Not Available
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
Open Link
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.
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.