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30 September 2021
Invertible and Noninvertible Maps: Theory and Applications
Theory and methods for the analysis of discrete dynamical systems represented by iterated noninvertible maps have been developed along several directions in the second half of XX century and are now applied in many fields, ranging from Physics and Engineering to biological and social sciences, including economics and finance. Both the qualitative analysis of smooth systems, with global bifurcations studied by the method of critical curves, and non-smooth ones, with border collision bifurcations, are now studied by many researchers, and offer new insight into the analysis of many systems which appear in different applied contexts.
The goal of this special issue is to collect original research papers as well as expository and survey papers, addressing such themes, from the theoretical point of view or from the applied one, in particular (but not only)
- Studies of stability and bifurcations in discrete dynamical system represented by iterated invertible and noninvertible maps in one or more dimensions
- Properties of smooth noninvertible maps studied with critical manifolds
- Properties of piecewise smooth (even piecewise continuous) noninvertible maps
- Local and global bifurcations in discrete dynamical systems represented by noninvertible maps
- Poincaré sections and their used in Physics, Engineering and other fields
- Applications of iterated maps in physics, engineering, biology, ecology, and social sciences (including economics and finance)
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The SI opens the submission of the papers on March 29, 2021 and closes it on September 30, 2021.
When submitting a paper just pay attention to select the special issue option at Step 6
The papers will be refereed and go through the Journal’s usual review process.
Expected publication of the SI is Spring 2022.
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