Work

Kowalevskaya exponents and normal forms of planar dynamical systems. Application to integrability problem

Year: 2024

Type: article

Abstract: In this work, dynamical properties of the solutions of differential systems in the plane are provided using certain constants related with the Kowalevskaya exponents. An orbital normal form that allows to study the existence of analytic and non-analytic first integrals is given. We apply the results to study the algebraic and analytic integrability around several singularities.

Source: Communications in Contemporary Mathematics

DOI: 10.1142/s0219199725500099

Authors: Antonio Algaba, Cristóbal García, Manuel Reyes, Jaume Giné

Institutions: Universidad de Huelva, Universitat de Lleida

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green