04-345 Timoteo Carletti, Lilia Rosati, Gabriele Villari

Qualitative analysis of phase--portrait for a class of planar vector fields via the comparison method. (448K, latex) Nov 2, 04

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Abstract. The phase--portrait of the second order differential equation: $$\ddot x+\sum_{l=0}^nf_l(x) \dot x^l=0\, ,$$ is studied. Some results concerning existence, non--existence and uniqueness of limit cycles are presented. Among these, a generalization of the classical Massera uniqueness result is proved.

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