Dynamical Systems with Symmetry

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: closed (30 November 2021) | Viewed by 2022

Special Issue Editor


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Guest Editor
Department of Mathematics, University of Exeter, Harrison Building, Streatham Campus, North Park Road, Exeter EX4 4QF, UK
Interests: low-dimensional dynamical systems and ergodic theory; mechanics of particles and systems; bifurcation theory

Special Issue Information

Dear Colleagues,

For almost every phenomenon from Physics, Chemistry, Biology, Medicine, Economics and other sciences, one can make a mathematical model that can be regarded as a dynamical system.

The goal of this Special Issue is to present various aspects of the field of dynamical systems from a mathematical point of view. The two main themes are the study of dynamical systems with symmetry and network dynamics, but work which focuses on ergodic theory, low-dimensional dynamics and complex dynamics is also welcome.

Dr. Ana Rodrigues
Guest Editor

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers (1 paper)

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Research

18 pages, 1827 KiB  
Article
A Novel Strategy for Complete and Phase Robust Synchronizations of Chaotic Nonlinear Systems
by Emad E. Mahmoud, M. Higazy and Ohood A. Althagafi
Symmetry 2020, 12(11), 1765; https://0-doi-org.brum.beds.ac.uk/10.3390/sym12111765 - 24 Oct 2020
Cited by 13 | Viewed by 1602
Abstract
Our work here is to propose a novel technique by which chaos complete and phase synchronizations can be accomplished via a low-cost scheme. We call the proposed technique a “single-state feedback track synchronization control algorithm”. A single-state feedback track synchronization control algorithm is [...] Read more.
Our work here is to propose a novel technique by which chaos complete and phase synchronizations can be accomplished via a low-cost scheme. We call the proposed technique a “single-state feedback track synchronization control algorithm”. A single-state feedback track synchronization control algorithm is designed so that both complete and phase synchronizations can be accomplished using the same controller. Complete synchronization between two chaotic systems means complete symmetry between them, but phase synchronization means complete symmetry with a phase shift. In addition, the proposed method is applied to the synchronization of two identical chaotic Lorenz models. The effectiveness and robustness of the proposed algorithm is well illustrated via exhaustive numerical simulation experiments based on the Matlab toolbox of the powerful genetic algorithm. The robustness of the proposed algorithm motivated us to apply this method of synchronization in a secure communication application. Full article
(This article belongs to the Special Issue Dynamical Systems with Symmetry)
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