Symmetry in Nonlinear Dynamics and Chaos and Their Applications to Engineering and Science

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

Deadline for manuscript submissions: closed (30 April 2023) | Viewed by 1201

Special Issue Editors


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Guest Editor
1. Department of Electronics, Federal University of Technology—Paraná, Ponta Grossa 84017-220, Brazil
2. Faculty of Mechanical Engineering of Bauru, UNESP-Universidade Estadual Paulista, Brasil Av. Eng. Luís Edmundo Carrijo Coube, 14-01 - Nucleo Res. Pres. Geisel, Bauru 17033-360, SP, Brazil
Interests: nonlinear dynamics; chaos; control and applications to engineering
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Guest Editor
Institute of Science and Technology, São Paulo State University (UNESP), Sorocaba 18087-180, Brazil
Interests: control systems; complex systems; synchronization; nonlinear dynamics

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Guest Editor
Department of Mathematics, Federal University of Technology–Parana (UTFPR), Ponta Grossa 84016-210, Brazil
Interests: control system; nonlinear dynamical systems; robotics
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Automation and Control Laboratory (LAC), Telecom and Control Department, Polytechnique School, University of São Paulo, São Paulo 05508-010, SP, Brazil
Interests: control systems; complex systems; time-delay systems; cybernetics; nonlinear dynamics; differential geometry
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This SI will be a great opportunity to disseminate recent developments in the field of analytical and numerical techniques, and articles that discuss novel phenomena and behaviors concerning several aspects of symmetry in nonlinear dynamics, chaos and control are welcome.

Researchers and practitioners are invited to submit original, unpublished research regarding the rapidly developing field of symmetry in nonlinear dynamics, chaos and control and their applications to engineering and science.

Areas of interest include, but are not limited to, both theory and applications concerning the following topics:

  • dynamical systems;
  • mathematical physics;
  • epidemiological models
  • rumor dissemination;
  • complex systems.

Prof. Dr. Jose Manoel Balthazar
Prof. Dr. Átila Madureira Bueno
Prof. Dr. Angelo Marcelo Tusset
Dr. Diego Colón
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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

11 pages, 264 KiB  
Article
Global Asymptotic Stability of Competitive Neural Networks with Reaction-Diffusion Terms and Mixed Delays
by Shuxiang Shao and Bo Du
Symmetry 2022, 14(11), 2224; https://doi.org/10.3390/sym14112224 - 22 Oct 2022
Cited by 2 | Viewed by 935
Abstract
In this article, a new competitive neural network (CNN) with reaction-diffusion terms and mixed delays is proposed. Because this network system contains reaction-diffusion terms, it belongs to a partial differential system, which is different from the existing classic CNNs. First, taking into account [...] Read more.
In this article, a new competitive neural network (CNN) with reaction-diffusion terms and mixed delays is proposed. Because this network system contains reaction-diffusion terms, it belongs to a partial differential system, which is different from the existing classic CNNs. First, taking into account the spatial diffusion effect, we introduce spatial diffusion for CNNs. Furthermore, since the time delay has an essential influence on the properties of the system, we introduce mixed delays including time-varying discrete delays and distributed delays for CNNs. By constructing suitable Lyapunov–Krasovskii functionals and virtue of the theories of delayed partial differential equations, we study the global asymptotic stability for the considered system. The effectiveness and correctness of the proposed CNN model with reaction-diffusion terms and mixed delays are verified by an example. Finally, some discussion and conclusions for recent developments of CNNs are given. Full article
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