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:
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
The economic life of an asset is the optimum length of its usefulness, which is the moment that the asset's expenses are minimum. In this paper, the economic life of physical assets, such as industry machine and equipment, can be interpreted as the m
Externí odkaz:
http://arxiv.org/abs/1210.3678