Buchumschlag

Normal forms for strong magnetic systems on surfaces: trapping regions and rigidity of Zoll systems

We prove a normal form for strong magnetic fields on a closed, oriented surface and use it to derive two dynamical results for the associated flow. First, we show the existence of invariant tori and trapping regions provided a natural non-resonance condition holds. Second, we prove that the flow can...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Asselle, Luca (VerfasserIn) , Benedetti, Gabriele (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: June 2022
In: Ergodic theory and dynamical systems
Year: 2022, Jahrgang: 42, Heft: 6, Pages: 1871-1897
ISSN:1469-4417
DOI:10.1017/etds.2021.11
Online-Zugang:Verlag, kostenfrei, Volltext: https://doi.org/10.1017/etds.2021.11
Verlag, kostenfrei, Volltext: https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/normal-forms-for-strong-magnetic-systems-on-surfaces-trapping-regions-and-rigidity-of-zoll-systems/448C0346E502473B6A1C1374E58BA2C1#
Volltext
Verfasserangaben:Luca Asselle and Gabriele Benedetti

MARC

LEADER 00000caa a2200000 c 4500
001 1891941615
003 DE-627
005 20241202172907.0
007 cr uuu---uuuuu
008 240620s2022 xx |||||o 00| ||eng c
024 7 |a 10.1017/etds.2021.11  |2 doi 
035 |a (DE-627)1891941615 
035 |a (DE-599)KXP1891941615 
035 |a (OCoLC)1474485199 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
084 |a 27  |2 sdnb 
100 1 |a Asselle, Luca  |d 1988-  |e VerfasserIn  |0 (DE-588)1036479749  |0 (DE-627)751078689  |0 (DE-576)384572006  |4 aut 
245 1 0 |a Normal forms for strong magnetic systems on surfaces  |b trapping regions and rigidity of Zoll systems  |c Luca Asselle and Gabriele Benedetti 
264 1 |c June 2022 
300 |a 27 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
500 |a "Published online by Cambridge University Press: 22 March 2021". - Artikel-Frontdoor 
500 |a Gesehen am 20.06.2024 
520 |a We prove a normal form for strong magnetic fields on a closed, oriented surface and use it to derive two dynamical results for the associated flow. First, we show the existence of invariant tori and trapping regions provided a natural non-resonance condition holds. Second, we prove that the flow cannot be Zoll unless (i) the Riemannian metric has constant curvature and the magnetic function is constant, or (ii) the magnetic function vanishes and the metric is Zoll. We complement the second result by exhibiting an exotic magnetic field on a flat two-torus yielding a Zoll flow for arbitrarily weak rescalings. 
650 4 |a 37C55 
650 4 |a 58E10 
650 4 |a 70H08 
650 4 |a 70H11 
650 4 |a 70H12 
650 4 |a 70H14 
650 4 |a invariant tori 
650 4 |a KAM theory 
650 4 |a magnetic flows 
650 4 |a Zoll systems 
700 1 |a Benedetti, Gabriele  |e VerfasserIn  |0 (DE-588)1219682098  |0 (DE-627)1735655376  |4 aut 
773 0 8 |i Enthalten in  |t Ergodic theory and dynamical systems  |d Cambridge, Mass. : Cambridge Univ. Press, 1981  |g 42(2022), 6 vom: Juni, Seite 1871-1897  |h Online-Ressource  |w (DE-627)254235409  |w (DE-600)1461798-5  |w (DE-576)073260517  |x 1469-4417  |7 nnas  |a Normal forms for strong magnetic systems on surfaces trapping regions and rigidity of Zoll systems 
773 1 8 |g volume:42  |g year:2022  |g number:6  |g month:06  |g pages:1871-1897  |g extent:27  |a Normal forms for strong magnetic systems on surfaces trapping regions and rigidity of Zoll systems 
856 4 0 |u https://doi.org/10.1017/etds.2021.11  |x Verlag  |x Resolving-System  |z kostenfrei  |3 Volltext 
856 4 0 |u https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/normal-forms-for-strong-magnetic-systems-on-surfaces-trapping-regions-and-rigidity-of-zoll-systems/448C0346E502473B6A1C1374E58BA2C1#  |x Verlag  |z kostenfrei  |3 Volltext 
951 |a AR 
992 |a 20240620 
993 |a Article 
994 |a 2022 
998 |g 1219682098  |a Benedetti, Gabriele  |m 1219682098:Benedetti, Gabriele  |d 110000  |d 110100  |d 110000  |d 110400  |e 110000PB1219682098  |e 110100PB1219682098  |e 110000PB1219682098  |e 110400PB1219682098  |k 0/110000/  |k 1/110000/110100/  |k 0/110000/  |k 1/110000/110400/  |p 2  |y j 
999 |a KXP-PPN1891941615  |e 4540757997 
BIB |a Y 
SER |a journal 
JSO |a {"relHost":[{"id":{"zdb":["1461798-5"],"eki":["254235409"],"issn":["1469-4417"]},"origin":[{"publisher":"Cambridge Univ. Press","dateIssuedKey":"1981","dateIssuedDisp":"1981-","publisherPlace":"Cambridge, Mass."}],"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title":"Ergodic theory and dynamical systems","title_sort":"Ergodic theory and dynamical systems"}],"part":{"year":"2022","pages":"1871-1897","issue":"6","text":"42(2022), 6 vom: Juni, Seite 1871-1897","volume":"42","extent":"27"},"pubHistory":["1.1981 -"],"recId":"254235409","language":["eng"],"disp":"Normal forms for strong magnetic systems on surfaces trapping regions and rigidity of Zoll systemsErgodic theory and dynamical systems","type":{"bibl":"periodical","media":"Online-Ressource"},"note":["Gesehen am 15.04.24"]}],"physDesc":[{"extent":"27 S."}],"id":{"doi":["10.1017/etds.2021.11"],"eki":["1891941615"]},"origin":[{"dateIssuedDisp":"June 2022","dateIssuedKey":"2022"}],"name":{"displayForm":["Luca Asselle and Gabriele Benedetti"]},"recId":"1891941615","language":["eng"],"type":{"media":"Online-Ressource","bibl":"article-journal"},"note":["\"Published online by Cambridge University Press: 22 March 2021\". - Artikel-Frontdoor","Gesehen am 20.06.2024"],"title":[{"title_sort":"Normal forms for strong magnetic systems on surfaces","title":"Normal forms for strong magnetic systems on surfaces","subtitle":"trapping regions and rigidity of Zoll systems"}],"person":[{"family":"Asselle","given":"Luca","roleDisplay":"VerfasserIn","display":"Asselle, Luca","role":"aut"},{"role":"aut","roleDisplay":"VerfasserIn","display":"Benedetti, Gabriele","given":"Gabriele","family":"Benedetti"}]} 
SRT |a ASSELLELUCNORMALFORM2022 

Ähnliche Einträge