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SINGULARITY THEORY and FORCED SYMMETRY BREAKING IN EQUATIONS
(Univ Autonoma Barcelona, 2010-01-01)
A theory of bifurcation equivalence for forced symmetry breaking bifurcation problems is developed. We classify (O(2), 1) problems of corank 2 of low codimension and discuss examples of bifurcation problems leading to such ...
Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
(2021-06-01)
Understanding how tangential singularities evolve under smoothing processes was one of the first problem concerning regularization of Filippov systems. In this paper, we are interested in C n -regularizations of Filippov ...
SINGULARITY THEORY and FORCED SYMMETRY BREAKING IN EQUATIONS
(Univ Autonoma Barcelona, 2014)
Renormalization of singular potentials and power counting
(Academic Press Inc. Elsevier B.V., 2008-06-01)
We use a toy model to illustrate how to build effective theories for singular potentials. We consider a central attractive 1/r(2) potential perturbed by a 1/r(4) correction. The power-counting rule, an important ingredient ...
Renormalization of singular potentials and power counting
(Academic Press Inc. Elsevier B.V., 2008-06-01)
We use a toy model to illustrate how to build effective theories for singular potentials. We consider a central attractive 1/r(2) potential perturbed by a 1/r(4) correction. The power-counting rule, an important ingredient ...
Geometric singular perturbartion theory for non-smooth dynamical systems
(2014)
In this article we deal with singularly perturbed Filippov systems Zε: (1) ˙x = ( F(x, y, ε) if h(x, y, ε) ≤ 0, G(x, y, ε) if h(x, y, ε) ≥ 0, εy˙ = H(x, y, ε), where ε ∈ R is a small parameter, x ∈ Rn, n ≥ 2, and y ∈ R ...
O oscilador harmônico singular revisitado
(2013-10-18)
The one-dimensional Schrödinger equation with the singular harmonic oscillator is investigated. The Hermiticity of the operators related to observable physical quantities is used as a criterion to show that the attractive ...
Renormalization and Short Distance Singular Structure
(Springer/plenum Publishers, 2001-12)
The relation between renormalization and short distance singular divergencies in quantum field theory is studied. As a consequence a finite theory is presented. It is shown that these divergencies originate from the ...
Differential geometry from a singularity theory viewpoint
(World ScientificHackensack, 2015-12)
Differential Geometry from a Singularity Theory Viewpoint provides a new look at the fascinating and classical subject of the differential geometry of surfaces in Euclidean spaces. The book uses singularity theory to capture ...