Advances in periodic difference equations with open problems. (English) Zbl 1318.39002

AlSharawi, Ziyad; Cánovas, Jose S.; Linero, Antonio

AlSharawi, Ziyad (ed.) et al., Theory and applications of difference equations and discrete dynamical systems. ICDEA, Muscat, Oman, May 26–30, 2013. Berlin: Springer (ISBN 978-3-662-44139-8/hbk; 978-3-662-44140-4/ebook). Springer Proceedings in Mathematics & Statistics 102, 113-126 (2014).

Summary: In this paper, we review some recent results on the dynamics of semi-dynamical systems generated by the iteration of a periodic sequence of continuous maps. In particular, we state several open problems focused on the structure of periodic orbits, forcing between periodic orbits, sharing periodic orbits, folding and unfolding periodic systems, and on applications of periodic systems.
For the entire collection see [Zbl 1297.39001].

MSC:

39A10	Additive difference equations
39A23	Periodic solutions of difference equations
37C27	Periodic orbits of vector fields and flows

Keywords:

periodic difference equations; semi-dynamical systems; periodic orbit; periodic systems