Deterministic Discrete Dynamical Systems: Advances in Regular and Chaotic Behavior with Applications

Call for Papers

Generally speaking, a dynamical system is characterized by three major ingredients: phase space, evolution operator(s), and time scale. Discrete dynamical systems, in particular, are governed by difference equations or iterative processes. They may result from discretizing continuous dynamical systems or modeling evolution systems for which the time scale is discrete. Indeed, discrete dynamical systems are prevalent in signal processing, population dynamics, numerical analysis and scientific computation, economics, health sciences, and so forth. In this special issue, we are interested in the transient and long-term behavior of deterministic dynamical systems for which the underlying phase space is a continuum. Investigating the transient and long-term behavior is important in its own right. In addition, it also helps engineers, scientists, and decision makers to come up with informed decisions.

We invite researchers to contribute original research articles as well as review articles that will support and stimulate the continuing efforts to understand both the transient and the long-term behavior of discrete dynamical systems. We are particularly interested in articles describing recent developments in the theory and applications of difference equations and/or discrete dynamical systems. Potential topics include, but are not limited to:

• Asymptotic stability of discrete dynamical systems and difference equations
• Asymptotic periodicity of discrete dynamical systems and difference equations
• Chaotic behavior of discrete dynamical systems
• Existence and construction of invariants or first integrals of discrete dynamical systems and difference equations
• Long-term behavior of nonautonomous discrete dynamical systems
• Global behavior of periodic discrete dynamical systems and difference equations
• Basins of attraction of the equilibrium and periodic solutions of difference equations

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/ddns/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/ddns/ddds/ according to the following timetable:

Lead Guest Editor

• Raghib Abu-Saris, M.S. Program in Mathematics Education, Richard W. Riley College of Education and Leadership, Walden University, 155 Fifth Avenue South, Minneapolis, MN 55401, USA

Guest Editors

• Alfredo Peris, Departament de Matematica, Aplicada, IUMPA, Universitat Politéecnica de Valencia, Edifici 7A, 46022 Valencia, Spain
• Fathi Allan, Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 17551, Al-Ain, UAE
• Mustafa Kulenovic, Department of Mathematics, University of Rhode Island, Kingston, RI 02881, USA.