Pointwise periodic maps with quantized first integrals

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Title:	Pointwise periodic maps with quantized first integrals
Author:	Cimà, Anna; Gasull, Armengol; Mañosa Fernández, Víctor; Mañosas Capellades, Francesc
Abstract:	We describe the global dynamics of some pointwise periodic piecewise linear maps in the plane that exhibit interesting dynamic features. For each of these maps we find a first integral. For these integrals the set of values are discrete, thus quantized. Furthermore, the level sets are bounded sets whose interior is formed by a finite number of open tiles of certain regular or uniform tessellations. The action of the maps on each invariant set of tiles is described geometrically.
Publication date:	2022-10-31
Subject(s):	-Periodic points -Pointwise periodic maps -Piecewise linear maps -Quantized first integrals -Regular and uniform tessellations
Rights:	open access Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original. https://creativecommons.org/licenses/by/4.0/
Document type:	Article
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Uri:	https://ddd.uab.cat/record/257129