dc.contributor.author |
Cimà, Anna |
dc.contributor.author |
Gasull, Armengol |
dc.contributor.author |
Mañosa Fernández, Víctor |
dc.contributor.author |
Mañosas Capellades, Francesc |
dc.date |
2022 |
dc.date.accessioned |
2022-10-31T18:40:59Z |
dc.date.available |
2022-10-31T18:40:59Z |
dc.date.issued |
2022-10-31 |
dc.identifier |
https://ddd.uab.cat/record/257129 |
dc.identifier |
urn:10.1016/j.cnsns.2021.106150 |
dc.identifier |
urn:oai:ddd.uab.cat:257129 |
dc.identifier |
urn:scopus_id:85122305186 |
dc.identifier |
urn:articleid:10075704v108p106150 |
dc.identifier |
urn:gsduab:5070 |
dc.identifier.uri |
http://hdl.handle.net/2072/527203 |
dc.format |
application/pdf |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Agencia Estatal de Investigación PID2019-104658GB-I00 |
dc.relation |
Agencia Estatal de Investigación DPI2016-77407-P |
dc.relation |
Agencia Estatal de Investigación MTM2017-86795-C3-1-P |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-388 |
dc.relation |
Agencia Estatal de Investigación CEX2020-001084-M |
dc.relation |
Communications in nonlinear science and numerical simulation ; Vol. 108 (May 2022), art. 106150 |
dc.rights |
open access |
dc.rights |
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. |
dc.rights |
https://creativecommons.org/licenses/by/4.0/ |
dc.subject |
Periodic points |
dc.subject |
Pointwise periodic maps |
dc.subject |
Piecewise linear maps |
dc.subject |
Quantized first integrals |
dc.subject |
Regular and uniform tessellations |
dc.title |
Pointwise periodic maps with quantized first integrals |
dc.type |
Article |
dc.description.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. |