Special Issue "Dynamical Systems and System Analysis"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Dynamical Systems".

Deadline for manuscript submissions: 31 December 2021.

Special Issue Editor

Prof. Dr. Vasyl Martsenyuk
E-Mail Website
Guest Editor
Department of Computer Science and Automatics, University of Bielsko-Biala, Willowa 2, 43-309 Bielsko-Biala, Poland
Interests: dynamical systemss; system analysis; medical informatics; data mining; cybernetics

Special Issue Information

Dear Colleagues,

This Special Issue, devoted to dynamical systems and system analysis, will bring together the newest research achievements of scholars studying the models describing time dependences of the state in appropriate system space, focusing on their qualitative behavior. The issue will cover all aspects of this topic, starting with the problem of parameter identification, stability investigation, optimal control, nonlinear dynamics, studies using the theory of deterministic chaos, or any other techniques which can be applied in the field of the qualitative analysis of dynamical systems and their applications.

The Editors of this Special Issue are pleased to invite authors to submit their original results related to dynamical systems which can be described with the help of differential or difference equations, partial and lattice differential equations, differential equations on graphs, delayed equations, and even studies related to dynamical systems on time scales. We await the latest results related to the identification of the parameters of dynamical systems, initial and boundary value problems, local and global asymptotic stability, Lyapunov theory, construction of an optimal controller, and numerical research of nonlinear dynamics. We believe that researchers are eager to see how differential, difference, and equations on time scales are used in a variety of applications in engineering, economics and finance, biology and medicine, and what their importance in the field is. This Special Issue will also publish contributions related exclusively to system analysis, and we hope to find, among the results, new approaches for the qualitative theory of dynamical systems that could inspire further achievements in the field.

Prof. Dr. Vasyl Martsenyuk
Guest Editor

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 papers will be 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. Mathematics is an international peer-reviewed open access semimonthly 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 1600 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.


  • Dynamical System
  • Qualitative Theory
  • Stability
  • Nonlinear Analysis
  • Optimal Control
  • Differential Equations
  • Difference Equations
  • Delayed Differential Equations
  • Time Scales
  • Spatial-Temporal System

Published Papers (1 paper)

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Open AccessArticle
Research on Optimization of Array Honeypot Defense Strategies Based on Evolutionary Game Theory
Mathematics 2021, 9(8), 805; https://doi.org/10.3390/math9080805 - 08 Apr 2021
Viewed by 190
Honeypot has been regarded as an active defense technology that can deceive attackers by simulating real systems. However, honeypot is actually a static network trap with fixed disposition, which is easily identified by anti-honeypot technology. Thus, honeypot is a “passive” active defense technology. [...] Read more.
Honeypot has been regarded as an active defense technology that can deceive attackers by simulating real systems. However, honeypot is actually a static network trap with fixed disposition, which is easily identified by anti-honeypot technology. Thus, honeypot is a “passive” active defense technology. Dynamic honeypot makes up for the shortcomings of honeypot, which dynamically adjusts defense strategies with the attack of hackers. Therefore, the confrontation between defenders and attackers is a strategic game. This paper focuses on the non-cooperative evolutionary game mechanism of bounded rationality, aiming to improve the security of the array honeypot system through the evolutionarily stable strategies derived from the evolutionary game model. First, we construct a three-party evolutionary game model of array honeypot, which is composed of defenders, attackers and legitimate users. Secondly, we formally describe the strategies and revenues of players in the game, and build the three-party game payoff matrices. Then the evolutionarily stable strategy is obtained by analyzing the Replicator Dynamics of various parties. In addition, we discuss the equilibrium condition to get the influence of the number of servers N on the stability of strategy evolution. MATLAB and Gambit simulation experiment results show that deduced evolutionarily stable strategies are valid in resisting attackers. Full article
(This article belongs to the Special Issue Dynamical Systems and System Analysis)
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