Work

A Blow-up Method to Prove Formal Integrability for Some Planar Differential Systems

Year: 2018

Type: article

Abstract: In this work we provide an effective method to prove the formal integrability of the resonant saddles. The method is based on the use of a blow-up and the resolution of a recurrence differential equation using induction. Using the method some open integrability problems for certain resonant saddles are solved.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/2018.1833

Authors: Brigita Ferčec, Jaume Giné

Institutions: University of Maribor, Universitat de Lleida

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Generalitat de Catalunya, Javna Agencija za Raziskovalno Dejavnost RS, Agència de Gestió d'Ajuts Universitaris i de Recerca