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) | Viewed by 432

Special Issue Editor


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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
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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

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Keywords

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

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Published Papers

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