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Advances in Periodic Difference Equations with Open Problems

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Theory and Applications of Difference Equations and Discrete Dynamical Systems

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 102))

Abstract

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.

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Acknowledgments

J.S. Cánovas and A. Linero have been partially supported by the grants MTM2011-23221 from Ministerio de Ciencia e Innovación (Spain) and 08667/PI/08 from Programa de Generación de Conocimiento Científico de Excelencia de la Fundación Séneca, Agencia de Ciencia y Tecnología de la Comunidad Autónoma de la Región de Murcia (II PCTRM 2007–10).

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Authors and Affiliations

  1. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Paseo de Alfonso XIII, 30203, Cartagena, Murcia, Spain

    Ziyad AlSharawi

  2. Department of Mathematics and Statistics, Sultan Qaboos University, 36 PC 123 Al-Khod, Muscat, Sultanate of Oman

    Jose S. Cánovas

  3. Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100, Murcia, Spain

    Antonio Linero

Authors
  1. Ziyad AlSharawi
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  2. Jose S. Cánovas
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  3. Antonio Linero
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Corresponding author

Correspondence to Jose S. Cánovas .

Editor information

Editors and Affiliations

  1. Sultan Qaboos University Dept. of Math. and Statistics, Muscat, Oman

    Ziyad AlSharawi

  2. University of Arizona Dept. of Mathematics, Tucson, Arizona, USA

    Jim M. Cushing

  3. Trinity University Dept. of Mathematics, San Antonio, Texas, USA

    Saber Elaydi

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AlSharawi, Z., Cánovas, J.S., Linero, A. (2014). Advances in Periodic Difference Equations with Open Problems. In: AlSharawi, Z., Cushing, J., Elaydi, S. (eds) Theory and Applications of Difference Equations and Discrete Dynamical Systems. Springer Proceedings in Mathematics & Statistics, vol 102. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44140-4_6

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