EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions: Enviaments recents
Ara es mostren els items 1-12 de 606
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Reversible perturbations of conservative Hénon-like maps
(2021-04-01)
Article
Accés obertFor 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
Accés obertThe 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
Accés obertGiven 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
Accés obertWe 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
Accés obertIn 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)
Report de recerca
Accés obertWe 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
Accés obertWe 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
Accés obertWe 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
Accés obertWe 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)
Report de recerca
Accés obertIn 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
Accés restringit per política de l'editorialIn 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)
Text en actes de congrés
Accés obertIn 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 ...