https://doi.org/10.1140/epjst/e2016-02608-3
Regular Article
On Λ −ϕ generalized synchronization of chaotic dynamical systems in continuous–time
1 Department of Mathematics and Computer Science, Tebessa University, Tebessa, Algeria
2 Mathematics Department, Faculty of Science, University of Hail, Hail, Kingdom of Saudi Arabia
a e-mail: sawalha_moh@yahoo.com
Received: 1 August 2015
Revised: 11 January 2016
Published online: 29 February 2016
In this paper, a new type of chaos synchronization in continuous-time is proposed by combining inverse matrix projective synchronization (IMPS) and generalized synchronization (GS). This new chaos synchronization type allows us to study synchronization between different dimensional continuous-time chaotic systems in different dimensions. Based on stability property of integer-order linear continuous-time dynamical systems and Lyapunov stability theory, effective control schemes are introduced and new synchronization criterions are derived. Numerical simulations are used to validate the theoretical results and to verify the effectiveness of the proposed schemes.
© EDP Sciences, Springer-Verlag, 2016
