Pointwise periodic maps with quantized first integrals
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| Title: | Pointwise periodic maps with quantized first integrals |
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| Authors: | Cima, Anna, Gasull Embid, Armengol, Mañosa Fernández, Víctor, Mañosas, Francesc |
| Contributors: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
| Publication Year: | 2022 |
| Collection: | Universitat Politècnica de Catalunya, BarcelonaTech: UPCommons - Global access to UPC knowledge |
| Subject Terms: | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals, Difference equations, Differentiable dynamical systems, Discrete geometry, Periodic points, Pointwise periodic maps, Piecewise linear maps, Quantized first integrals, Regular and uniform tessellations, Equacions en diferències, Sistemes dinàmics diferenciables, Geometria discreta, Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory, Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems, Classificació AMS::39 Difference and functional equations::39A Difference equations, Classificació AMS::52 Convex and discrete geometry::52C Discrete geometry |
| Description: | 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 ; "The third author acknowledges the group’s research recognition 2017-SGR-388 from AGAUR, Generalitat de Catalunya" ; Peer Reviewed ; Postprint (published version) |
| Document Type: | article in journal/newspaper |
| File Description: | application/pdf |
| Language: | English |
| Relation: | https://www.sciencedirect.com/science/article/pii/S1007570421004469; info:eu-repo/grantAgreement/MINECO/1PE/DPI2016-77407-P; Cima, A. [et al.]. Pointwise periodic maps with quantized first integrals. "Communications in nonlinear science and numerical simulation", Maig 2022, vol. 108, article 106150.; http://hdl.handle.net/2117/361708 |
| DOI: | 10.1016/j.cnsns.2021.106150 |
| Availability: | http://hdl.handle.net/2117/361708 https://doi.org/10.1016/j.cnsns.2021.106150 |
| Rights: | Attribution 4.0 International ; https://creativecommons.org/licenses/by/4.0/ ; Open Access |
| Accession Number: | edsbas.E8BEFD3C |
| Database: | BASE |
Nájsť tento článok vo Web of Science | 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 ; "The third author acknowledges the group’s research recognition 2017-SGR-388 from AGAUR, Generalitat de Catalunya" ; Peer Reviewed ; Postprint (published version) |
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| DOI: | 10.1016/j.cnsns.2021.106150 |