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Pregled bibliografske jedinice broj: 1237739

Normal forms of hyperbolic logarithmic transseries

Peran, Dino; Resman, Maja; Rolin, Jean- Philippe; Servi, Tamara
Normal forms of hyperbolic logarithmic transseries // Journal of differential equations, 348 (2023), 154-190 doi:10.1016/j.jde.2022.12.002 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 1237739 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Normal forms of hyperbolic logarithmic transseries

Autori
Peran, Dino ; Resman, Maja ; Rolin, Jean- Philippe ; Servi, Tamara

Izvornik
Journal of differential equations (0022-0396) 348 (2023); 154-190

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
fixed point theory ; formal normal forms ; hyperbolic fixed point ; Koenigs sequence ; linearization ; logarithmic transseries

Sažetak
We find the normal forms of hyperbolic logarithmic transseries with respect to parabolic logarithmic normalizing changes of variables. We provide a necessary and sufficient condition on such transseries for the normal form to be linear. The normalizing transformations are obtained via fixed point theorems, and are given algorithmically, as limits of Picard sequences in appropriate topologies.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-UIP-2017-05-1020 - Fraktalna analiza diskretnih dinamičkih sustava (DSfracta) (Resman, Maja, HRZZ - 2017-05) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split

Profili:

Avatar Url Maja Resman (autor)

Avatar Url Dino Peran (autor)

Poveznice na cjeloviti tekst rada:

doi arxiv.org

Citiraj ovu publikaciju:

Peran, Dino; Resman, Maja; Rolin, Jean- Philippe; Servi, Tamara
Normal forms of hyperbolic logarithmic transseries // Journal of differential equations, 348 (2023), 154-190 doi:10.1016/j.jde.2022.12.002 (međunarodna recenzija, članak, znanstveni)
Peran, D., Resman, M., Rolin, J. & Servi, T. (2023) Normal forms of hyperbolic logarithmic transseries. Journal of differential equations, 348, 154-190 doi:10.1016/j.jde.2022.12.002.
@article{article, author = {Peran, Dino and Resman, Maja and Rolin, Jean- Philippe and Servi, Tamara}, year = {2023}, pages = {154-190}, DOI = {10.1016/j.jde.2022.12.002}, keywords = {fixed point theory, formal normal forms, hyperbolic fixed point, Koenigs sequence, linearization, logarithmic transseries}, journal = {Journal of differential equations}, doi = {10.1016/j.jde.2022.12.002}, volume = {348}, issn = {0022-0396}, title = {Normal forms of hyperbolic logarithmic transseries}, keyword = {fixed point theory, formal normal forms, hyperbolic fixed point, Koenigs sequence, linearization, logarithmic transseries} }
@article{article, author = {Peran, Dino and Resman, Maja and Rolin, Jean- Philippe and Servi, Tamara}, year = {2023}, pages = {154-190}, DOI = {10.1016/j.jde.2022.12.002}, keywords = {fixed point theory, formal normal forms, hyperbolic fixed point, Koenigs sequence, linearization, logarithmic transseries}, journal = {Journal of differential equations}, doi = {10.1016/j.jde.2022.12.002}, volume = {348}, issn = {0022-0396}, title = {Normal forms of hyperbolic logarithmic transseries}, keyword = {fixed point theory, formal normal forms, hyperbolic fixed point, Koenigs sequence, linearization, logarithmic transseries} }

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

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