Nonautonomous two-periodic gumovski-mira difference equations

Anna Cima; Armengol Gasull; Víctor Mañosa

doi:https://doi.org/10.1142/S0218127412502641

Nonautonomous two-periodic gumovski-mira difference equations

Anna Cima, Armengol Gasull, Víctor Mañosa

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

10 Citations (Scopus)

Abstract

We consider two types of nonautonomous two-periodic Gumovski-Mira difference equations. We show that while the corresponding autonomous recurrences are conjugated, the behavior of the sequences generated by the two-periodic ones differ dramatically: in one case the behavior of the sequences is simple (integrable) and in the other case it is much more complicated (chaotic). We also present a global study of the integrable case that includes which periods appear for the recurrence. © 2012 World Scientific Publishing Company.

Original language	English
Article number	1250264
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	22
Issue number	11
DOIs	https://doi.org/10.1142/S0218127412502641
Publication status	Published - 1 Jan 2012

Keywords

Integrable and chaotic difference equations and maps
perturbed twist maps
rational difference equations with periodic coefficients

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AB - We consider two types of nonautonomous two-periodic Gumovski-Mira difference equations. We show that while the corresponding autonomous recurrences are conjugated, the behavior of the sequences generated by the two-periodic ones differ dramatically: in one case the behavior of the sequences is simple (integrable) and in the other case it is much more complicated (chaotic). We also present a global study of the integrable case that includes which periods appear for the recurrence. © 2012 World Scientific Publishing Company.

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KW - rational difference equations with periodic coefficients

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