Electron. J. Diff. Equ., Vol. 2014 (2014), No. 75, pp. 1-8.

Non-existence of limit cycles for planar vector fields

Jaume Gine

This article presents sufficient conditions for the non-existence of limit cycles for planar vector fields. Classical methods for the nonexistence of limit cycles are connected with the theory developed here.

Submitted December 10, 2012. Published March 18, 2014.
Math Subject Classifications: 34C05, 34C23, 37G15.
Key Words: Planar analytic vector fields; analytic differential systems; limit cycles.

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Jaume Giné
Departament de Matemàtica, Universitat de Lleida
Avda. Jaume II, 69; 25001 Lleida, Catalonia, Spain
email: gine@matematica.udl.cat

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