Complex modified projective phase synchronization of nonlinear chaotic frameworks with complex variables

被引:4
|
作者
Shammakh, Wafa [1 ]
Mahmoud, Emad E. [2 ,3 ]
Kashkari, Bothayna S. [1 ]
机构
[1] Univ Jeddah, Coll Sci, Dept Math, Jeddah, Saudi Arabia
[2] Sohag Univ, Coll Sci, Dept Math, Sohag 82524, Egypt
[3] Taif Univ, Fac Sci, Dept Math, At Taif 888, Saudi Arabia
关键词
Complex modified projective; phase synchronization; Chaotic; Lyapunov function; Certain parameters; Complex; ANTIPHASE SYNCHRONIZATION; LAG SYNCHRONIZATION; SYSTEMS; OSCILLATORS; DYNAMICS; ARRAYS;
D O I
10.1016/j.aej.2020.02.019
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this work we display and examine the definition of complex modified (or altered) projective phase synchronization (CMPPS) of chaotic complex nonlinear frameworks which have not been presented as of late within the writing. This type of complex synchronization can be seen as a generalization in the literature of many types of synchronizations and complex synchronizations. A scheme is outlined to attain CMPPS of chaotic complex nonlinear frameworks based on the stability theory. In CMPPS, we show how nonlinear chaotic systems with complex variables can also be synchronized to a complex constant scaling matrix in a master-slave setup. The obvious change of the complex scaling matrix in CMPPS can furthermore improve the security of communications. The viability and feasibility of the CMPPS are highlighted in the recreation case. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
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页码:1265 / 1273
页数:9
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