Special Issue "Difference Equations and Discrete Dynamical Systems"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".

Deadline for manuscript submissions: closed (31 December 2020).

Special Issue Editor

Prof. Dr. Mustafa R.S. Kulenovic
E-Mail Website
Guest Editor
Department of Mathematics, University of Rhode Island, Kingston, RI 02881-0816, USA
Interests: Bifurcation theory; difference equations; discrete dynamical systems; global dynamics; population dynamics
Special Issues and Collections in MDPI journals

Special Issue Information

Dear Colleagues,

This issue is a continuation of the previous successful Special Issue “Difference Equations and Discrete Dynamical Systems: Theory and Applications”.

A dynamic system is characterized by three major components: phase space, evolution operator(s), and time scale. Discrete dynamic systems are governed by difference equations which may result from discretizing continuous dynamic systems or modeling evolution systems for which the time scale is discrete. Discrete dynamic systems are prevalent in signal processing, population dynamics, numerical analysis and scientific computation, economics, health sciences, and so forth.

In this Special Issue of the journal Mathematics, we focus our attention on the asymptotic behavior of deterministic and stochastic dynamic systems for which the underlying phase space is either a continuum or a discrete set. Special attention will be given to different types of bifurcation in discrete dynamic systems, such as the period doubling bifurcation, discrete Hopf bifurcation, and flip bifurcation of some classes of difference equations and first-order systems.

Prof. Dr. Mustafa R.S. Kulenovic
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.


  • Asymptotic
  • Bifurcation
  • Chaos
  • Global dynamics
  • Manifold
  • Stability

Published Papers

There is no accepted submissions to this special issue at this moment.
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