9 citations · 11 across the 6 of their papers we have counts for
8 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…
The 1/2--Complex Bruno function and the Yoccoz function. A numerical study of the Marmi--Moussa--Yoccoz Conjecture
Timoteo Carletti
We study the 1/2--Complex Bruno function and we produce an algorithm to evaluate it numerically, giving a characterization of the monoid $\hat{\mathcal{M}}=\mathcal{M}_T\cup \mathc…
Exponentially long time stability for non--linearizable analytic germs of $(\C^n,0)$
Timoteo Carletti
We study the Siegel--Schröder center problem on the linearization of analytic germs of diffeomorphisms in several complex variables, in the Gevrey--, category. We introduc…