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pro vyhledávání: '"Pessoa, Claudio"'
Autor:
Pessoa, Claudio, Ribeiro, Ronisio
In this paper, we study the number of limit cycles that can bifurcate from a periodic annulus in discontinuous planar piecewise linear Hamiltonian differential system with three zones separated by two parallel straight lines, such that the linear dif
Externí odkaz:
http://arxiv.org/abs/2207.05177
We work with polynomial three-dimensional rigid differential systems. Using the Lyapunov constants, we obtain lower bounds for the cyclicity of the known rigid centers on their center manifolds. Moreover, we obtain an example of a quadratic rigid cen
Externí odkaz:
http://arxiv.org/abs/2202.12155
Autor:
Pessoa, Claudio, Ribeiro, Ronisio
Publikováno v:
In Nonlinear Analysis: Real World Applications December 2024 80
Autor:
Pessoa, Claudio, Queiroz, Lucas
Consider analytical three-dimensional differential systems having a singular point at the origin such that its linear part is $y\partial_x-\lambda z\partial_z$ for some $\lambda\neq 0$. The restriction of such systems to a Center Manifold has a nilpo
Externí odkaz:
http://arxiv.org/abs/2111.12047
Autor:
Queiroz, Lucas, Pessoa, Claudio
Consider analytical three-dimensional differential systems having a singular point at the origin such that its linear part is $y\partial_x-\lambda z\partial_z$ for some $\lambda\neq 0$. The restriction of such systems to a Center Manifold has a nilpo
Externí odkaz:
http://arxiv.org/abs/2110.02383
Autor:
Pessoa, Claudio, Ribeiro, Ronisio
In this paper, we study the number of limit cycles that can bifurcating from a periodic annulus in discontinuous planar piecewise linear Hamiltonian differential system with three zones separated by two parallel straight lines. We prove that if the c
Externí odkaz:
http://arxiv.org/abs/2109.10311
Consider an analytical function $f:V\subset\mathbb R^2\rightarrow\mathbb R$ having $0$ as its regular value, a switching manifold $\Sigma=f^{-1}(0)$ and a piecewise analytical vector field $X=(X^+,X^-)$, i.e. $X^\pm$ are analytical vector fields defi
Externí odkaz:
http://arxiv.org/abs/2106.09827
Autor:
Pessoa, Claudio, Queiroz, Lucas
Given a nilpotent singular point of a planar vector field, its monodromy is associated with its Andreev number $n$. The parity of $n$ determines whether the existence of an inverse integrating factor implies that the singular point is a nilpotent cen
Externí odkaz:
http://arxiv.org/abs/2106.05090
Publikováno v:
In Bulletin des sciences mathématiques November 2023 188
Autor:
Pessoa, Claudio, Queiroz, Lucas
Publikováno v:
In Journal of Mathematical Analysis and Applications