On Phase and Anti-Phase Combination Synchronization of Time Delay Nonlinear Systems-Reference-Cited by-同舟云学术

On Phase and Anti-Phase Combination Synchronization of Time Delay Nonlinear Systems

Published:2018-08-22 Issue:11 Volume:13 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Mahmoud Gamal M.¹,Arafa Ayman A.²,Mahmoud Emad E.²

Affiliation:

1. Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt e-mails: ;

2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt e-mail:

Abstract

Extensive studies have been done on the phenomenon of phase and anti-phase synchronization (APS) between one drive and one response systems. As well as, combination synchronization for chaotic and hyperchaotic systems without delay also has been investigated. Thus, this paper aims to introduce the concept of phase and anti-phase combination synchronization (PCS and APCS) between two drive and one response time delay systems, which are not studied in the literature as far as we know. The analysis of PCS and APCS are carried out using active control technique. An example is given to test the validity of the expressions of control forces to achieve the PCS and APCS of time delay systems. This example is between three different systems. When there is no control, the PCS does not occur where the phase difference is unbounded. The bounded phase difference appears when the control is applied which means that PCS is achieved. The special case which is the combination synchronization is studied as well.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4041033/6008677/cnd_013_11_111001.pdf

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