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Bifurcation in Deterministic Discrete Dynamical Systems: Advances in Theory and Applications

Call for Papers

Bifurcation theory is a major focus of recent studies in continuous and discrete dynamical systems. Central to this area of research is the question whether the qualitative properties of a dynamical system change when one or more of the parameters change. Indeed, the parameters can be viewed as controllers which can be fine-tuned to force the system under study to behave in a desirable way. In this special issue, we are interested in bifurcations pertinent to deterministic dynamical systems for which the underlying phase space is a continuum.

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 theory and applications of the bifurcation behaviour of discrete dynamical systems. In particular, we are interested in articles describing recent developments in the theory and applications of bifurcation of discrete dynamical systems. Potential topics include, but are not limited to:

  • Bifurcations of fixed points, particularly period-doubling and Naimark-Sacker Bifurcations
  • Bifurcations of periodic orbits
  • Bifurcations of homoclinic and heteroclinic orbits
  • Numerical aspects of bifurcations
  • Applications of bifurcation theory

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at according to the following timetable:

Manuscript DueFriday, 22 August 2014
First Round of ReviewsFriday, 14 November 2014
Publication DateFriday, 9 January 2015

Lead Guest Editor

  • Raghib Abu-Saris, Department of Basic Sciences, College of Science and Health Professions, King Saud Bin Abdulaziz University for Health Sciences, Riyadh, Saudi Arabia

Guest Editors

  • Fathi Allan, Department of Mathematical Sciences, United Arab Emirates University, Al-Ain, United Arab Emirates
  • Sui Sun Cheng, Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan
  • Mustafa Kulenovic, Department of Mathematics, University of Rhode Island, Kingston, RI, USA