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Complexity
Volume 2017, Article ID 3848953, 13 pages
https://doi.org/10.1155/2017/3848953
Research Article

A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization

1Department of Mathematics, College of Science, Sohag University, Sohag 82524, Egypt
2Department of Mathematics, College of Science, Taif University, Taif, Saudi Arabia
3Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia

Correspondence should be addressed to Emad E. Mahmoud; moc.oohay@naule_dame

Received 4 April 2017; Revised 23 May 2017; Accepted 8 June 2017; Published 3 August 2017

Academic Editor: Olfa Boubaker

Copyright © 2017 Emad E. Mahmoud and Fatimah S. Abood. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Another chaotic nonlinear Lü model with complex factors is covered here. We can build this riotous complex system when we add a complex nonlinear term to the third condition of the complex Lü system and think of it as if every one of the factors is mind boggling or complex. This system in real adaptation is a 6-dimensional continuous autonomous chaotic system. Different types of chaotic complex Lü system are developed. Also, another sort of synchronization is presented by us which is simple for anybody to ponder for the chaotic complex nonlinear system. This sort might be called a complex antilag synchronization (CALS). There are irregular properties for CALS and they do not exist in the literature; for example, (i) the CALS contains or fused two sorts of synchronizations (antilag synchronization ALS and lag synchronization LS); (ii) in CALS the attractors of the main and slave systems are moving opposite or similar to each other with time lag; (iii) the state variable of the main system synchronizes with a different state variable of the slave system. A scheme is intended to accomplish CALS of chaotic complex systems in light of Lyapunov function. The acquired outcomes and effectiveness can be represented by a simulation case for our new model.