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Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation
(Siam Publications, 2009-01-01)
In this article we describe some qualitative and geometric aspects of nonsmooth dynamical systems theory around typical singularities. We also establish an interaction between nonsmooth systems and geometric singular ...
Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation
(Siam Publications, 2009-01-01)
In this article we describe some qualitative and geometric aspects of nonsmooth dynamical systems theory around typical singularities. We also establish an interaction between nonsmooth systems and geometric singular ...
THREE TIME SCALE SINGULAR PERTURBATION PROBLEMS AND NONSMOOTH DYNAMICAL SYSTEMS
(Brown Univ, 2014-01-01)
In this paper we study three time scale singular perturbation problemsepsilon x ' = f(x, epsilon, delta), y ' = g(x, epsilon, delta), z ' = delta h(x, delta, delta),where x = (x, y, z) is an element of R-n x R-m x R-p, ...
Geometric Singular Perturbation Theory for Systems with Symmetry
(2020-01-01)
In this paper we focus on a class of symmetric vector fields in the context of singularly perturbed fast-slow dynamical systems. Our main question is to know how symmetry properties of a dynamical system are affected by ...
Cosmological singularity theorems for f(R) gravity theories
(IOP Publishing, 2016-05)
In the present work some generalizations of the Hawking singularity theorems in the context of f(R) theories are presented. The main assumptions are: the matter fields stress energy tensor satisfies the condition ...
O oscilador harmônico singular revisitadoThe singular harmonic oscillator revisited
(Sociedade Brasileira de Física, 2014)
Correspondence of F(R) gravity singularities in Jordan and Einstein frames
(2016)
We study the finite time singularity correspondence between the Jordan and Einstein frames for various F(R) gravity theories. Particularly we investigate the ordinary pure F(R) gravity case and the unimodular F(R) gravity ...
Sliding Vector Fields via Slow-Fast Systems
(Belgian Mathematical Soc TriompheBrusselsBélgica, 2008)