22 citations · 29 across the 6 of their papers we have counts for
4 papers
Qualitative analysis of phase--portrait for a class of planar vector fields via the comparison method
Timoteo Carletti, Lilia Rosati, Gabriele Villari
The phase--portrait of the second order differential equation: is studied. Some results concerning existence, non--existence and uniquen…
Uniqueness of limit cycles for a class of planar vector fields
Timoteo Carletti
In this paper we give sufficient conditions to ensure uniqueness of limit cycles for a class of planar vector fields. We also exhibit a class of examples with exactly one limit cyc…
Normalization of Poincaré Singularities {\it via} Variation of Constants
T. Carletti, A. Margheri, M. Villarini
We present a geometric proof of the Poincaré-Dulac Normalization Theorem for analytic vector fields with singularities of Poincaré type. Our approach allows us to relate the size o…
A note on existence and uniqueness of limit cycles for Liénard systems
Timoteo Carletti, Gabriele Villari
We consider the Liénard equation and we give a sufficient condition to ensure existence and uniqueness of limit cycles. We compare our result with some other existing ones and we g…