Complex lag synchronization of two identical chaotic complex nonlinear systems |
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Authors: | Emad E Mahmoud Kholod M Abualnaja |
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Institution: | 1. Department of Mathematics, Faculty of Science, Sohag University, Sohag, 82524, Egypt 2. College of Applied Medical Sciences, Taif University, Turabah, Kingdom of Saudi Arabia 3. Department of Mathematics, Umm Al-Qura University, P.O. Box 14949, Makkah, Kingdom of Saudi Arabia
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Abstract: | 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. |
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