EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Integrar en un grup multidisciplinari la recerca feta a la Universitat en els camps d?equacions diferencials en derivades parcials i altres problemes de contorn de la física matemàtica, aspectes cohomològics i homotòpics de les varietats algebraiques, sistemes dinàmics i astrodinàmica, la teoria matemàtica de sistemes i les seves aplicacions a l'estudi de pertorbacions de sistemes lineals, i la modelització numèrica de tots aquests temes.
The group?s aim is to integrate, into a multidisciplinary group, the research carried out at the University in the fields of partial differential equations and other boundary problems in mathematical physics, cohomological and homotopical aspects of algebraic varieties, dynamic systems and astrodynamics, mathematical systems theory and its applications to the study of perturbations of linear systems, as well as the numerical modelling of all these topics.
The group?s aim is to integrate, into a multidisciplinary group, the research carried out at the University in the fields of partial differential equations and other boundary problems in mathematical physics, cohomological and homotopical aspects of algebraic varieties, dynamic systems and astrodynamics, mathematical systems theory and its applications to the study of perturbations of linear systems, as well as the numerical modelling of all these topics.
Collections
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Altres [5]
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Articles de revista [413]
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Capítols de llibre [12]
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Llibres [3]
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Presentacions [1]
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Reports de recerca [102]
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Working papers [6]
Recent Submissions
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Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies
(2019-06)
External research report
Open AccessWe study the splitting of invariant manifolds of whiskered (hyperbolic) tori with three frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum. We consider a 3-dimensional ... -
On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps
(Institute of Physics (IOP), 2018-04-30)
Article
Open AccessWe study the 1:4 resonance for the conservative cubic Hénon maps C^± with positive and negative cubic terms. These maps show up different bifurcation structures both for fixed points with eigenvalues¿±i and for 4-periodic ... -
A numerical method for computing initial conditions of Lagrangian invariant tori using the frequency map
(2016-06-15)
Article
Open AccessWe present a numerical method for computing initial conditions of Lagrangian quasi-periodic invariant tori of Hamiltonian systems and symplectic maps. Such initial conditions are found by solving, using the Newton method, ... -
Traveling wave solutions in a half-space for boundary reactions
(2015-01-01)
Article
Open AccessWe prove the existence and uniqueness of a traveling front and of its speed for the homogeneous heat equation in the half-plane with a Neumann boundary reaction term of unbalanced bistable type or of combustion type. We ... -
A note on symplectic and Poisson linearization of semisimple Lie algebra actions
(2015-03)
External research report
Open AccessIn this note we prove that an analytic symplectic action of a semisimple Lie algebra can be locally linearized in Darboux coordinates. This result yields simultaneous analytic linearization for Hamiltonian vector fields ... -
Generic bifurcations of low codimension of planar Filippov Systems
(2011-02)
Article
Restricted access - publisher's policyIn this article some qualitative and geometric aspects of non-smooth dynamical systems theory are discussed. The main aim of this article is to develop a systematic method for studying local(and global) bifurcations in ... -
A distributed attitude control law for formation flying based on the Cucker-smale model
(2014)
Conference report
Open AccessIn this paper we consider the attitude synchronization problem for a swarm of spacecrafts flying in formation. Starting from previous works on consensus dynamics, we construct a distributed attitude control law and derive ... -
Matrices positivas y aplicaciones
(Maria Isabel Garcia Planas, 2008-09-01)
Book
Open Access -
Credit risk contributions under the Vasicek one-factor model: a fast wavelet expansion approximation
(2014-06)
Article
Open AccessTo measure the contribution of individual transactions inside the total risk of a credit portfolio is a major issue in financial institutions. VaR Contributions (VaRC) and Expected Shortfall Contributions (ESC) have become ... -
Com les Varietats Invariants formen Espirals i Anells en Galàxies barrades
(2014)
Article
Open AccessL'espectacularitat de les galàxies barrades consisteix no solament en la presència de la barra, allargada en el centre de la galàxia, sinó també en els braços espirals o anells que es desenvolupen en les parts exteriors. ... -
Action-angle variables and a KAM theorem for b-Poisson manifolds
(2015-02)
External research report
Open AccessIn this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [LMV11] for general Poisson manifolds in this setting. As an application, we ... -
Structural stability of planar bimodal linear systems
(2014-01-01)
Article
Open AccessStructural stability ensures that the qualitative behavior of a system is preserved under small perturbations. We study it for planar bimodal linear dynamical systems, that is, systems consisting of two linear dynamics ...
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