Time-reversibility and integrability of $ p:-q $ resonant vector fields-Reference-Cited by-同舟云学术

Time-reversibility and integrability of $ p:-q $ resonant vector fields

Published:2024 Issue:1 Volume:9 Page:73-88
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Giné Jaume¹,Romanovski Valery G.²³⁴,Torregrosa Joan⁵⁶

Affiliation:

1. Departament de Matemàtica, Universitat de Lleida, Av. Jaume Ⅱ, 69, Lleida 25001, Catalonia, Spain

2. Faculty of Electrical Engineering and Computer Science, University of Maribor, Koroška cesta 46, SI-2000 Maribor, Slovenia

3. Center for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, SI-2000 Maribor, Slovenia

4. Faculty of Natural Science and Mathematics, University of Maribor, Koroška cesta 160, SI-2000 Maribor, Slovenia

5. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra 08193, Barcelona, Catalonia, Spain

6. Centre de Recerca Matemàtica, Campus de Bellaterra, Bellaterra 08193, Barcelona, Catalonia, Spain

Abstract

<abstract><p>We study the local analytical integrability in a neighborhood of $ p:-q $ resonant singular point of a two-dimensional vector field and its connection to time-reversibility with respect to the non-smooth involution $ \varphi(x, y) = (y^{p/q}, x^{q/p}). $ Some generalizations of the theory developed by Sibirsky for the $ 1:-1 $ resonant case to the $ p:-q $ resonant case are presented.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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