Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Novaes, Douglas Duarte"'
Publikováno v:
Nonlinear Dynamics 100, 2973-2987(2020)
Recently, a piecewise smooth differential system was derived as a model of a 1 predator-2 prey interaction where the predator feeds adaptively on its preferred prey and an alternative prey. In such a model, strong evidence of chaotic behavior was num
Externí odkaz:
http://arxiv.org/abs/1809.02060
Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems
Publikováno v:
Rev. Mat. Iberoam. 36 (1), 291-318, 2020
The averaging theory has been extensively employed for studying periodic solutions of smooth and nonsmooth differential systems. Here, we extend the averaging theory for studying periodic solutions a class of regularly perturbed non-autonomous $n$-di
Externí odkaz:
http://arxiv.org/abs/1801.01730
Publikováno v:
Nonlinearity 31 (2018), 2083-2104
Generic bifurcation theory was classically well developed for smooth differential systems, establishing results for $k$-parameter families of planar vector fields. In the present study we focus on a qualitative analysis of $2$-parameter families, $Z_
Externí odkaz:
http://arxiv.org/abs/1707.08162
Publikováno v:
Differential Equations and Dynamical Systems, 2018
We consider piecewise smooth vector fields (PSVF) defined in open sets $M\subseteq R^n$ with switching manifold being a smooth surface $\Sigma$. The PSVF are given by pairs $X = (X_+, X_-)$, with $X = X_+$ in $\Sigma_+$ and $X = X_-$ in $\Sigma_-$ wh
Externí odkaz:
http://arxiv.org/abs/1706.07391
Autor:
Novaes, Douglas Duarte, Varão, Régis
Publikováno v:
Bull. Sci. math. 167 (2021) 102954
We are interested in Filippov systems which preserve a probability measure on a compact manifold. We define a measure to be invariant for a Filippov system as the natural analogous definition of invariant measure for flows. Our main result concerns F
Externí odkaz:
http://arxiv.org/abs/1706.04212
Publikováno v:
Nonlinear Analysis, Volume 190, January 2020, 111617
In this paper, we consider one--parameter ($\lambda>0$) families of Li\'enard differential equations. We are concerned with the study on the asymptotic behavior of periodic solutions for small and large values of $\lambda>0$. To prove our main result
Externí odkaz:
http://arxiv.org/abs/1705.02362
Publikováno v:
J. Dyn. Diff. Equat. 29 (2017), 1569-1583
In this paper we provide a full topological and ergodic description of the dynamics of Filippov systems nearby a sliding Shilnikov orbit. More specifically we prove that the first return map, defined nearby this orbit, is topologically conjugate to a
Externí odkaz:
http://arxiv.org/abs/1609.02643
Autor:
Novaes, Douglas Duarte, 1988
Publikováno v:
Repositório Institucional da UnicampUniversidade Estadual de CampinasUNICAMP.
Orientador: Marco Antonio Teixeira
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
Made available in DSpace on 2018-08-20T23:30:08Z (GMT). No. of bitstreams: 1
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
Made available in DSpace on 2018-08-20T23:30:08Z (GMT). No. of bitstreams: 1
Externí odkaz:
http://repositorio.unicamp.br/jspui/handle/REPOSIP/305968
Autor:
Llibre, Jaume, Novaes, Douglas Duarte
Motivated by problems coming from different areas of the applied science we study the periodic solutions of the following differential system $$x'(t)=F_0(t,x)+\varepsilon F_1(t,x)+\varepsilon^2 R(t,x,\varepsilon),$$ when $F_0$, $F_1$, and $R$ are dis
Externí odkaz:
http://arxiv.org/abs/1504.03008
Autor:
Novaes, Douglas Duarte, Ponce, Enrique
Publikováno v:
Int. J. Bifurcation Chaos 25, 1550009 (2015) [7 pages]
Recently Braga and Mello conjectured that for a given natural number n there is a piecewise linear system with two zones in the plane with exactly n limit cycles. In this paper we prove a result from which the conjecture is an immediate consequence.
Externí odkaz:
http://arxiv.org/abs/1405.4435