Zobrazeno 1 - 10
of 193
pro vyhledávání: '"Novaes, Douglas D."'
The concept of sliding Shilnikov connection has been recently introduced and represents an important entity of Filippov systems because its existence implies chaotic behavior on an invariant subset of the system. The investigation of its properties h
Externí odkaz:
http://arxiv.org/abs/2312.10720
Floquet's Theorem is a celebrated result in the theory of ordinary differential equations. Essentially, the theorem states that, when studying a linear differential system with $T$-periodic coefficients, we can apply a, possibly complex, $T$-periodic
Externí odkaz:
http://arxiv.org/abs/2312.05608
This paper focuses in providing a Melnikov-like function that controls the existence of periodic solutions bifurcating from period annuli present in some families of the second-order discontinuous differential equation given by $\ddot{x}+\alpha\; \te
Externí odkaz:
http://arxiv.org/abs/2312.02738
The family of invariant Riemannian manifolds in the Wallach flag manifold $\mathrm{SU}(3)/\mathrm{T}^2$ is described by three parameters $(x,y,z)$ of positive real numbers. By restricting such a family of metrics in the \emph{tetrahedron} $\cal{T}:=
Externí odkaz:
http://arxiv.org/abs/2307.06418
Publikováno v:
Chaos, 2023
The generalized Chazy differential equation corresponds to the following two-parameter family of differential equations \begin{equation*}\label{gcdeq} \dddot x+|x|^q \ddot x+\dfrac{k |x|^q}{x}\dot x^2=0, \end{equation*} which has its regularity varyi
Externí odkaz:
http://arxiv.org/abs/2307.00087
Since Littlewood works in the 1960's, the boundedness of solutions of Duffing-type equations $\ddot{x}+g(x)=p(t)$ has been extensively investigated. More recently, some researches have focused on the family of non-smooth forced oscillators $ \ddot{x}
Externí odkaz:
http://arxiv.org/abs/2305.13457
Important information about the dynamical structure of a differential system can be revealed by looking into its invariant compact manifolds, such as equilibria, periodic orbits, and invariant tori. This knowledge is significantly increased if asympt
Externí odkaz:
http://arxiv.org/abs/2305.11821
Autor:
Novaes, Douglas D., Silva, Leandro A.
The cyclicity problem consists in estimating the number of limit cycles bifurcating from a monodromic singularity of planar vector fields and is usually addressed by means of Lyapunov coefficients. For nonsmooth systems, besides the limit cycles bifu
Externí odkaz:
http://arxiv.org/abs/2303.06027
The Euler characteristic of a 2-dimensional compact manifold and the local behavior of smooth vector fields defined on it are related to each other by means of the Poincar\'e--Hopf Theorem. Despite of the importance of Filippov vector fields, concern
Externí odkaz:
http://arxiv.org/abs/2303.04316
The 16th Hilbert's Problem, about the maximum number of limit cycles of planar polynomial vector fields of a given degree $m$, has been one of the most important driving forces for new developments in the qualitative theory of vector fields. Increasi
Externí odkaz:
http://arxiv.org/abs/2212.12006