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Unstable manifolds computation for the two-dimensional plane Poiseuille flow
(2003)
Article.
Accés obert
Article.
Accés obert
In this work we study some aspects of the dynamics of the plane Poiseuille problem in dimension 2,
in what refers to the connection among different configurations of the flow. The fluid is confined in a
channel of plane ...
Non-autonomous hamiltonian systems and Morales-Ramis theory
(2008-06)
Article.
Accés obert
Article.
Accés obert
In this paper we present an approach towards the comprehensive analysis of the non-integrability of differential equations in the form $\ddot x=f(x,t)$ which is analogous to Hamiltonian systems with $1+1/2$ degree of ...
Recovering the epipolar direction from two affine views of a planar object
(Academic Press, 2008)
Article.
Accés obert
Article.
Accés obert
The mainstream approach to estimate epipolar geometry from two views requires matching the projections of at least 4 non-coplanar points in the scene, assuming a full projective camera model. Our work deviates from this ...
Separation of variables and explicit theta-function solution of the classical Steklov--Lyapunov systems: A geometric and algebraic geometric background
(2009-11)
Report de recerca.
Accés obert
Report de recerca.
Accés obert
Abstract
The paper revises the separation of variables and explicit integration of the classical Steklov{
Lyapunov systems, which was ¯rst made by F. KÄotter in 1900. Namely, we give a geometric
interpretation of the ...
Exponential decay in one-dimensional porous-thermo-elasticity
(2004)
Article.
Accés obert
Article.
Accés obert
This paper concerns the one dimensional problem of the porous-thermo-elasticity. Two
kinds of dissipation process are considered: the viscosity type in the porous structure and
the thermal dissipation. It is known that ...
Invertible contractions and asymptotically stable ODE´s that are not C<sup>1</sup>-linearizable
(2005)
Article.
Accés obert
Article.
Accés obert
We present an example of a contraction di®eomorphism in in¯nite dimensions
that is not C1-linearizable, and we construct a regular ordinary di®erential equation in a
Hilbert space whose time-one map is that di®eomorphism. ...
The parameterization method for invariant manifolds II: regularity with respect to parameters
(2002)
Article.
Accés obert
Article.
Accés obert
We study the regularity with respect to parameters of the invariant
manifolds associated to non-resonant subspaces obtained in the previous
article [CFdlL00].
Linearization of local cohomology modules
(American Mathematical Society, 2003)
Capítol de llibre.
Accés obert
Capítol de llibre.
Accés obert
The aim of this work is to describe the linear structure
of regular holonomic $\mathcal D$-modules with support a normal crossing
with variation zero introduced in [Local cohomology, arrangements of
subspaces and
monomial ...
Characteristic cycle of local cohomology modules of monomial ideals II
(2003)
Article.
Accés obert
Article.
Accés obert
The period function for second-order quadratic ODEs is monotone
(2003)
Article.
Accés obert
Article.
Accés obert
Very little is known about the period function for large families of centers. In one of
the pioneering works on this problem, Chicone [?] conjectured that all the centers encountered
in the family of second-order differential ...