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Multiscale linearization of nonautonomous systems


Backes, Lucas; Dragičević, Davor
Multiscale linearization of nonautonomous systems // Proceedings. Section A. Mathematics (Edinburgh) (2022) doi:10.1017/prm.2022.63 (znanstveni, prihvaćen)


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Naslov
Multiscale linearization of nonautonomous systems

Autori
Backes, Lucas ; Dragičević, Davor

Vrsta, podvrsta
Radovi u časopisima, znanstveni

Izvornik
Proceedings. Section A. Mathematics (Edinburgh) (2022)

Status rada
Prihvaćen

Ključne riječi
Multiscale ; linearization ; nonautonomous dynamics

Sažetak
We present sufficient conditions under which a given linear nonautonomous system and its nonlinear perturbation are topologically conjugated. Our conditions are of a very general form and provided that the nonlinear perturbations are well-behaved, we do not assume any asymptotic behaviour of the linear system. Moreover, the control on the nonlinear perturbations may differ along finitely many mutually complementary directions. We consider both the cases of one- sided discrete and continuous dynamics.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2019-04-1239 - Operatori pomaka, statistički zakoni i beskonačno-dimenzionalni dinamički sustavi (TOSLDS) (Dragičević, Davor, HRZZ - 2019-04) ( CroRIS)

Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku

Profili:

Avatar Url Davor Dragičević (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Backes, Lucas; Dragičević, Davor
Multiscale linearization of nonautonomous systems // Proceedings. Section A. Mathematics (Edinburgh) (2022) doi:10.1017/prm.2022.63 (znanstveni, prihvaćen)
Backes, L. & Dragičević, D. (2022) Multiscale linearization of nonautonomous systems. Prihvaćen za objavljivanje u Proceedings. Section A. Mathematics (Edinburgh). [Preprint] doi:10.1017/prm.2022.63.
@unknown{unknown, author = {Backes, Lucas and Dragi\v{c}evi\'{c}, Davor}, year = {2022}, DOI = {10.1017/prm.2022.63}, keywords = {Multiscale, linearization, nonautonomous dynamics}, journal = {Proceedings. Section A. Mathematics (Edinburgh)}, doi = {10.1017/prm.2022.63}, title = {Multiscale linearization of nonautonomous systems}, keyword = {Multiscale, linearization, nonautonomous dynamics} }
@unknown{unknown, author = {Backes, Lucas and Dragi\v{c}evi\'{c}, Davor}, year = {2022}, DOI = {10.1017/prm.2022.63}, keywords = {Multiscale, linearization, nonautonomous dynamics}, journal = {Proceedings. Section A. Mathematics (Edinburgh)}, doi = {10.1017/prm.2022.63}, title = {Multiscale linearization of nonautonomous systems}, keyword = {Multiscale, linearization, nonautonomous dynamics} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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