Criteria for the nonexistence of periodic orbits in planar differential systems

Jaume Giné^a, Jaume Llibre<sup>b

a</sup> Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69; 25001 Lleida, Catalonia, Spain
^b Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain

Abstract: In this work we summarize some well-known criteria for the nonexistence of periodic orbits in planar differential systems. Additionally we present two new criteria and illustrate with examples these criteria.

Keywords and phrases: periodic orbits, Bendixson, Dulac, Liénard equation, angular velocity, planar differential systems.

MSC: 34C05, 34D30

Received: 22.06.2022

Language: English

DOI: 10.56415/basm.y2023.i1.p3