1 citations · 1 across the 4 of their papers we have counts for
4 papers
Essential perturbations of polynomial vector fields with a period annulus
Adriana Buică, Jaume Giné, Maite Grau
In this paper we first give the explicit definition of essential perturbation. Secondly, given a perturbation of a particular family of centers of polynomial differential systems o…
Bifurcations from nondegenerate families of periodic solutions
A. Buica, J. Llibre, O. Makarenkov
By a nondegenerate -parameterized family of periodic solutions we understand the situation when the geometric multiplicity of the multiplier +1 of the linearized on syst…
On Mitropol'skii Yu.A.'s Theorem on Periodic Solutions of Systems of Nonlinear Differential Equations with Non-Differentiable Right-Hand-Sides
Adriana Buica, Jaume Llibre, Oleg Makarenkov
The smooth second Bogolyubov's theorem is generalized for Lipschitz systems.
Asymptotic stability of periodic solutions for nonsmooth differential equations with application to the nonsmooth van der Pol oscillator
Adriana Buica, Jaume Llibre, Oleg Makarenkov
In this paper we study the existence, uniqueness and asymptotic stability of the periodic solutions for a Lipschitz system with a small right hand side. Classical hypotheses in the…