Dynamical Systems: Advances in Theory and Applications

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: closed (31 March 2022) | Viewed by 4637

Special Issue Editors


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Guest Editor
1. Department of Informatics, Mathematicsand Electronics, Faculty of Science and Engineering, "1 Decembrie 1918" University of Alba Iulia, 510009 Alba Iulia, Romania
2. Faculty of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu Street 50, 500091 Brasov, Romania
Interests: systems and control; time-varying systems; dynamical systems; difference equations
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Department of Mathematics, University of Peshawar, Peshawar, Pakistan
Interests: nonlinear functional analysis; fractional differential equations; fixed point theory; stability analysis
Special Issues, Collections and Topics in MDPI journals

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Department of Electronics, Computing and Mathematics, University of Derby, Derby, UK
Interests: optimization; computational mathematics; recurrence sequences and mathematical modelling; mathematical education and mathematical anxiety
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Special Issue Information

Dear Colleagues,

The aim of this Special Issue is to discuss the general theory of dynamical systems as well as their applications. The widespread interest in this area of research arises mainly from its direct impact to many real-life models. The aim is to cover theoretical, numerical, and computational analysis of dynamical systems and their multidisciplinary applications.

Topics of interest include but are not limited to:

  • Global attractivity and stability;
  • Random dynamical systems;
  • Complex dynamics;
  • Numerical approximation;
  • Equations and inequalities;
  • Dynamical systems on time scales;
  • Fractional dynamical systems;
  • Applications in economics, physics, and other disciplines.

Dr. Ioan-Lucian Popa
Dr. Akbar Zada
Dr. Ovidiu Bagdasar
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. Axioms 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.

Keywords

  • Discrete/continuous dynamical systems
  • Random dynamical systems
  • Fractional dynamical systems
  • Applications

Published Papers (2 papers)

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11 pages, 662 KiB  
Article
Hopf Bifurcation Analysis in a Modified R&D Model with Delay
by Yang Cao, Ferrara Massimiliano, Gangemi Mariangela and Guerrini Luca
Axioms 2022, 11(4), 148; https://0-doi-org.brum.beds.ac.uk/10.3390/axioms11040148 - 24 Mar 2022
Cited by 1 | Viewed by 1747
Abstract
We consider a duopoly game model of R&D (research and development) rivalry between two high-tech firms with time delay, in which a monopoly sector with R&D spillover is studied using a mixture of game theory and nonlinear dynamics theory. The local asymptotic stability [...] Read more.
We consider a duopoly game model of R&D (research and development) rivalry between two high-tech firms with time delay, in which a monopoly sector with R&D spillover is studied using a mixture of game theory and nonlinear dynamics theory. The local asymptotic stability of the equilibrium point is studied by analyzing the corresponding characteristic equation. It is found that the delay can lead the system dynamic behavior to exhibit stability switches and Hopf bifurcations appear. Full article
(This article belongs to the Special Issue Dynamical Systems: Advances in Theory and Applications)
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6 pages, 628 KiB  
Article
Parrondo’s Paradox for Tent Maps
by Jose S. Cánovas
Axioms 2021, 10(2), 85; https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10020085 - 06 May 2021
Cited by 1 | Viewed by 1523
Abstract
In this paper, we study the dynamic Parrondo’s paradox for the well-known family of tent maps. We prove that this paradox is impossible when we consider piecewise linear maps with constant slope. In addition, we analyze the paradox “simple + simple = complex” [...] Read more.
In this paper, we study the dynamic Parrondo’s paradox for the well-known family of tent maps. We prove that this paradox is impossible when we consider piecewise linear maps with constant slope. In addition, we analyze the paradox “simple + simple = complex” when a tent map with constant slope and a piecewise linear homeomorphism with two different slopes are considered. Full article
(This article belongs to the Special Issue Dynamical Systems: Advances in Theory and Applications)
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