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

• Main Authors: Wafa Shammakh, Emad E. Mahmoud, Bothayna S. Kashkari
• Format: Article
• Language: English
• Published: Elsevier 2020-06-01
• Series: Alexandria Engineering Journal
• Subjects: Complex modified projective phase synchronization; Chaotic; Lyapunov function; Certain parameters; Complex
• Online Access: http://www.sciencedirect.com/science/article/pii/S1110016820300740

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.