Pointwise periodic maps with quantized first integrals

Anna Cimà, Armengol Gasull, Víctor Mañosa Fernández

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)


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.
Original languageEnglish
JournalCommunications in Nonlinear Science and Numerical Simulation
Publication statusPublished - 2022


  • Periodic points
  • Pointwise periodic maps
  • Piecewise linear maps
  • Quantized first integrals
  • Regular and uniform tessellations


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