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Minimal heteroclinics for a class of fourth order ODE systems
(Elsevier, 2018-08)
We prove the existence of minimal heteroclinic orbits for a class of fourth order O.D.E. systems with variational structure. In our general set-up, the set of equilibria of these systems is a union of manifolds, and the ...
Special software for computing the special functions of wave catastrophes
(Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica., 2015)
Mixed-mode state–time discretization in ODE numerical integration
(Elsevier Science, 2020-10)
This article introduces the joint usage of Quantized State System (QSS) methods and classic numerical integration algorithms in the simulation of continuous time systems described by systems of Ordinary Differential Equations ...
Criterios racionales y rescatables de las metodologías utilizadas en estudios epidemiológicos para medir opacidades demarcadas en dentición temporal
(2017-05-24)
Las opacidades demarcadas (Ode) son defectos del desarrollo del esmalte (DDE) que alteran su calidad y traslucidez, y se detectan como una opacidad que puede ser blanco crema o amarillo-marrón, dependiendo de la severidad. ...
Comparative study of variational chaos indicators and ODEs' numerical integrators (review)
(World Scientific, 2012-10)
The reader can find in the literature a lot of different techniques to study the dynamics of a given system and also, many suitable numerical integrators to compute them. Notwithstanding the recent work of Maffione et al. ...
Sturm-Liouville boundary conditions for a second order ODE.
(2011-10-13)
We study the semilinear second order ODE u00 + g(t, u) = 0 under the following Sturm- Liouville boundary condition au(0) + bu0(0) = u0 and cu(T) + du0(T) = uT . We obtain solutions by topological methods. Moreover, we show ...
An introduction to semilinear elliptic equations
(Universidade Federal do Rio de Janeiro, Instituto de MatemáticaBrasilInstituto de MatemáticaUFRJ, 2019)
Multiple solutions for a second order equation with radiation boundary conditions
(Univ Szeged, 2017-04)
A second order ordinary differential equation with a superlinear term is studied under radiation boundary conditions. Employing the variational method and an accurate shooting-type argument, we prove the existence of at ...