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 in this community
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Altres [5]
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Articles de revista [415]
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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 [103]
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Working papers [6]
Recent Submissions
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Reversible perturbations of conservative Hénon-like maps
(2021-04-01)
Article
Open AccessFor area-preserving Hénon-like maps and their compositions, we consider smooth perturbations that keep the reversibility of the initial maps but destroy their conservativity. For constructing such perturbations, we use two ... -
Triangular Gross-Pitaevskii breathers and Damski-Chandrasekhar shock waves
(2021-01-01)
Article
Open AccessThe recently proposed map [arXiv:2011.01415] between the hydrodynamic equations governing the two-dimensional triangular cold-bosonic breathers [Phys. Rev. X 9, 021035 (2019)] and the high-density zero-temperature triangular ... -
A coordinate atlas of the manifold of observable conditioned invariant subspaces
(2001-02)
Article
Open AccessGiven an observable system (C,A) € Km×n×Kn×n with K = R or C , the set of (C,A)- invariant subspaces having the restricted system fixed observability indices is a smooth manifold embedded on the corresponding Grassmannian. ... -
Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies
(2020-01-01)
Article
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 torus ... -
The dynamics of digits: calculating Pi with Galperin's billiards
(Multidisciplinary Digital Publishing Institute (MDPI), 2020-04-01)
Article
Open AccessIn Galperin billiards, two balls colliding with a hard wall form an analog calculator for the digits of the number p . This classical, one-dimensional three-body system (counting the hard wall) calculates the digits of p ... -
Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies
(2019-06)
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)
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 ...
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