Dynamical properties and complex anti synchronization with applications to secure communications for a novel chaotic complex nonlinear model

Emad E. Mahmoud and S.M. Abo-Dahab

Chaos, Solitons & Fractals, 2018, vol. 106, issue C, 273-284

Abstract: In this work, we present another chaotic (or hyperchaotic) complex nonlinear framework. This chaotic (or hyperchaotic) complex framework can be considered as a speculation of ”Guan” framework [1]. The new framework is a 5-dimensional nonstop real independent chaotic (or hyperchaotic) framework. The fundamental properties and elements of our framework are examined. Once with the all parameters are real and the other with one of these parameters is a complex parameter. When we examine the dynamics of the new framework and the parameters in real form, the conduct of the new framework is chaotic. While when one of these parameters is complex, our new framework is hyperchaotic. On the premise of Lyapunov capacity and dynamic control method, a scheme is designed to accomplish the complex anti-synchronization of two identical chaotic (or hyperchaotic) attractors of these frameworks. The effectiveness of the acquired outcomes will be delineated by a simulation case. Numerical outcomes are schemed to indicate state variables and errors of these chaotic attractors after synchronization to show that synchronization is accomplished. The above outcomes will give hypothetical establishment to the secure communication applications in light of the proposed scheme. In this secure communication scheme, synchronization between transmitter and receiver is accomplished and message signals will be recuperated. The encryption and rebuilding of the signals will be simulated numerically.

Keywords: Complex anti synchronization; Chaotic; Lyapunov function; Lyapunov exponents; Complex (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (8)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077917304290
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:106:y:2018:i:c:p:273-284

DOI: 10.1016/j.chaos.2017.10.013

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().