Realizing Arbitrary D-Dimensional Dynamics By Renormalization Of Cd-Perturbations Of Identity
2022 (English)In: Discrete and Continuous Dynamical Systems, ISSN 1078-0947, E-ISSN 1553-5231, Vol. 42, no 2, p. 597-604Article in journal (Refereed) Published
Abstract [en]
Any Cd conservative map f of the d-dimensional unit ball Bd, d ≥ 2, can be realized by renormalized iteration of a Cd perturbation of identity: there exists a conservative diffeomorphism of Bd, arbitrarily close to identity in the Cd topology, that has a periodic disc on which the return dynamics after a Cd change of coordinates is exactly f.
Place, publisher, year, edition, pages
American Institute of Mathematical Sciences (AIMS) , 2022. Vol. 42, no 2, p. 597-604
Keywords [en]
Anosov-Katok method, Realization by iterations, Renormalization
National Category
Computer Engineering Other Physics Topics Subatomic Physics
Identifiers
URN: urn:nbn:se:kth:diva-319967DOI: 10.3934/dcds.2021129ISI: 000706622700001Scopus ID: 2-s2.0-85123509731OAI: oai:DiVA.org:kth-319967DiVA, id: diva2:1704138
Note
QC 20221017
2022-10-172022-10-172022-10-17Bibliographically approved