Browsing by Author "Pacha Andújar, Juan Ramón"
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CÀLCUL NUMÈRIC
Pacha Andújar, Juan Ramón (Universitat Politècnica de Catalunya, 20201102)
Exam
Restricted access to the UPC academic community 
CÀLCUL NUMÈRIC
Pacha Andújar, Juan Ramón (Universitat Politècnica de Catalunya, 20210115)
Exam
Restricted access to the UPC academic community 
Càlcul numèric : manual de pràctiques
Lázaro Ochoa, José Tomás; Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (Universitat Politècnica de Catalunya, 2014)
Practice
Open Access 
Càlcul numèric. Manual de pràctiques
Lázaro Ochoa, José Tomás; Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (201407)
Research report
Open Access 
Confinement around the Vertical Family of Periodic Orbits close L<sub>4</sub> and L<sub>5</sub>
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2001)
Article
Open AccessWe consider the spatial restricted three body problem (RTBP) for values of the mass parameter close to µRouth. We analyse the dynamics around the vertical periodic orbits which are born at the equilateral equilibrium ... 
Controllability of continuous bimodal linear systems
Ferrer Llop, Josep; Pacha Andújar, Juan Ramón; Peña Carrera, Marta (20130501)
Article
Open AccessWe consider bimodal linear systems consisting of two linear dynamics acting on each side of a given hyperplane, assuming continuity along the separating hyperplane. We prove that the study of controllability can be reduced ... 
Description of characteristic nonhyperinvariant subspaces in GF(2)
Mingueza, David; Montoro López, María Eulalia; Pacha Andújar, Juan Ramón (Elsevier, 20131216)
Article
Restricted access  publisher's policyGiven a square matrix A , an A invariant subspace is called hyperinvariant (respectively, characteristic) if and only if it is also invariant for all matrices T (respectively, nonsingular matrices T ) that commute ... 
Description of characteristic nonhyperinvariant subspaces over the field GF(2)
Mingueza, David; Montoro López, María Eulalia; Pacha Andújar, Juan Ramón (Elsevier, 20131026)
Article
Restricted access  publisher's policyGiven a square matrix A, an Ainvariant subspace is called hyperinvariant (respectively, characteristic) if and only if it is also invariant for all matrices T (respectively, nonsingular matrices T) that commute with A. ... 
Dynamics and bifurcation near the transition from stability to complex instability
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2001)
Article
Open Access 
Dynamics and bifurcation near the transition from stability to complex instability: an analytical approach using normal forms
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (1998)
Article
Open AccessWe consider a Hamiltonian of three degrees of freedom and a family of periodic orbits with a transition from stability to complex instability, such that there is an irrational collision of the Floquet eigenvalues of opposite ... 
Dynamics close to a non semisimple 1: 1 resonant periodic orbit.
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2003)
Article
Open AccessIn this work, our target is to analyze the dynamics around the $1:1$ resonance which appears when a family of periodic orbits of a real analytic threedegree of freedom Hamiltonian system changes its stability from ... 
Hopf bifurcation for the hydrogen atom in a circularly polarized microwave field
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (20180901)
Article
Open AccessWe consider the Rydberg electron in a circularly polarized microwave field, whose dynamics is described by a Hamiltonian depending on one parameter, K¿>¿0. The corresponding Hamiltonian system of ODE has two equilibrium ... 
How does the hopf bifurcation appear in the hydrogen atom in a Circularly Polarized (CP) microwave field?
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (Birkhäuser, 2019)
Part of book or chapter of book
Restricted access  publisher's policyThe dynamics of the Rydberg atom in a rotating electric field can be described by a two degree of freedom Hamiltoniandepending on a parameterK. This Hamiltonian has two equilibrium pointsL1andL2. WhileL1is a saddlecenter ... 
KAM aspects of the quasiperiodic Hamiltonian Hopf bifurcation: summary of results
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (s.n., 20070820)
Conference report
Open AccessIn this work we consider a 1:1 non semisimple resonant periodic orbit of a threedegrees of freedom real analytic Hamiltonian system. From the formal analysis of the normal form, it is proved the branching off a ... 
KAM aspects of the quasiperiodic Hamiltonian Hopf bifurcation
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2004)
Article
Open AccessIn this work we consider a normal form around a 1:1 non semisimple resonant periodic orbit of a threedegree of freedom Hamiltonian system. From the formal analysis it can be proved the branching off a twoparameter ... 
Miniversal Deformations of Bimodal Picewise Linear Systems
Ferrer Llop, Josep; Magret Planas, Maria dels Dolors; Pacha Andújar, Juan Ramón; Peña Carrera, Marta (Servicio de publicaciones de la UPV, 2010)
Conference lecture
Open AccessBimodal linear systems are those consisting of two linear systems on each side of a given hyperplane, having continuous dynamics along that hyperplane. In this work, we focus on the derivation of (orthogonal) miniversal ... 
Motion close to the hopf bifurcation of the vertical family of periodic orbits of L^4
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2003)
Article
Open AccessThe paper deals with diﬀerent kinds of invariant motions (periodic orbits, 2D and 3D invariant tori and invariant manifolds of periodic orbits) in order to analyze the Hamiltonian direct Hopf bifurcation that takes place ... 
Motion near the transition to complex instability: some examples
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (1997)
Article
Open AccessComplex instability is a generic kind of instability in Hamiltonian systems with three degrees of freedom. In this work, some examples of such instability are shown, together with a numerical analysis of the dynamics ... 
On the Hamiltonian AndronovHopf bifurcation
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2001)
Article
Open Access 
On the quantitative estimates of the remainder in normal forms
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2002)
Article
Open AccessWe consider an analytic Hamiltonian system with three degrees of freedom and having a family of periodic orbits with a transition stability complex instability. We reduce the Hamiltonian to a normal form around a transition ...