Complex lag synchronization of two identical chaotic complex nonlinear systems

• Authors: Emad Mahmoud , Kholod Abualnaja
• Languages of publication: EN

Abstracts

EN

Much progress has been made in the research of synchronization for chaotic real or complex nonlinear systems. In this paper we introduce a new type of synchronization which can be studied only for chaotic complex nonlinear systems. This type of synchronization may be called complex lag synchronization (CLS). A definition of CLS is introduced and investigated for two identical chaotic complex nonlinear systems. Based on Lyapunov function a scheme is designed to achieve CLS of chaotic attractors of these systems. The effectiveness of the obtained results is illustrated by a simulation example. Numerical results are plotted to show state variables, modulus errors and phase errors of these chaotic attractors after synchronization to prove that CLS is achieved.

Keywords

EN

complex lag synchronization; chaotic; Lyapunov function; complex

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2014
• Volume: 12
• Issue: 1
• Pages: 63-69

Dates

published

1 - 1 - 2014

online

2 - 2 - 2014

Contributors

author

Emad Mahmoud

author

Kholod Abualnaja

• Department of Mathematics, Umm Al-Qura University, P.O. Box 14949, Makkah, Kingdom of Saudi Arabia

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Identifiers

DOI

10.2478/s11534-013-0324-z