Zobrazeno 1 - 10
of 41
pro vyhledávání: '"EUZÉBIO, RODRIGO D."'
It is well known that smooth (or continuous) vector fields cannot be topologically transitive on the sphere $\S^2$. Piecewise-smooth vector fields, on the other hand, may present non-trivial recurrence even on $\S^2$. Accordingly, in this paper the e
Externí odkaz:
http://arxiv.org/abs/2101.12035
Our context is Filippov systems defined on two-dimensional manifolds having a finite number of tangency points. We prove that topological transitivity is a necessary and sufficient condition for the occurrence of non-deterministic chaos when the Fili
Externí odkaz:
http://arxiv.org/abs/2101.12025
Autor:
Euzébio, Rodrigo D., Jucá, Joaby S.
In this paper the asymptotic behavior of trajectories of discontinuous vector fields is studied. The vector fields are defined on a two-dimensional Riemannian manifold $M$ and the confinement of trajectories on some suitable compact set $K$ of $M$ is
Externí odkaz:
http://arxiv.org/abs/2012.13945
In this paper a generalized Rayleigh-Li\'enard oscillator is consider and lower bounds for the number of limit cycles bifurcating from weak focus equilibria and saddle connections are provided. By assuming some open conditions on the parameters of th
Externí odkaz:
http://arxiv.org/abs/2012.13952
In this paper some piecewise smooth perturbations of a three-dimensional differential system are considered. The existence of invariant manifolds filled by periodic orbits is obtained after suitable small perturbations of the original differential sy
Externí odkaz:
http://arxiv.org/abs/2012.13951
Autor:
Euzébio, Rodrigo D., Llibre, Jaume
In this paper we study the maximum number $N$ of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies $2\leq N \leq
Externí odkaz:
http://arxiv.org/abs/1409.4602
Bifurcation of limit cycles from a non-smooth perturbation of a two-dimensional isochronous cylinder
Detect the birth of limit cycles in non-smooth vector fields is a very important matter into the recent theory of dynamical systems and applied sciences. The goal of this paper is to study the bifurcation of limit cycles from a continuum of periodic
Externí odkaz:
http://arxiv.org/abs/1404.2630
In this paper some qualitative and geometric aspects of nonsmooth vector fields theory are discussed. In the class of nonsmooth systems, that do not present sliding regions, a Poincar\'e-Bendixson Theorem is presented. A minimal set in planar Filippo
Externí odkaz:
http://arxiv.org/abs/1307.6825
Akademický článek
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Autor:
Euzébio, Rodrigo D.1 (AUTHOR) euzebio@ufg.br, Jucá, Joaby S.1 (AUTHOR), Varão, Régis2 (AUTHOR)
Publikováno v:
Journal of Nonlinear Science. Aug2022, Vol. 32 Issue 4, p1-15. 15p.
