DSpace Collection:
http://hdl.handle.net/2117/3230
Thu, 18 Dec 2014 11:38:17 GMT20141218T11:38:17Zwebmaster.bupc@upc.eduUniversitat Politècnica de Catalunya. Servei de Biblioteques i DocumentaciónoEstructuras Ainfinito en la opérada de cactus
http://hdl.handle.net/2117/22097
Title: Estructuras Ainfinito en la opérada de cactus
Authors: Gálvez Carrillo, Maria Immaculada; Lombardi, Leandro; Tonks, Andrew
Abstract: Diversas versiones de la opérada de cactus inicialmente definida por Voronov han sido estudiadas. Es conocida su equivalencia débil con la opérada de pequeños discos. Se conoce pues que la opérada de cactus admite una acción de la opérada de Gerstenhaber salvo homotopía. En este proyecto, nuestro objetivo es obtener una realización explícita de dicha acción. Por el momento, hemos construido una acción explícita de la opérada A8 en la opérada de cactus, que presentamos en este pósterhttp://hdl.handle.net/2117/22097Gálvez Carrillo, Maria Immaculada; Lombardi, Leandro; Tonks, AndrewnoDiversas versiones de la opérada de cactus inicialmente definida por Voronov han sido estudiadas. Es conocida su equivalencia débil con la opérada de pequeños discos. Se conoce pues que la opérada de cactus admite una acción de la opérada de Gerstenhaber salvo homotopía. En este proyecto, nuestro objetivo es obtener una realización explícita de dicha acción. Por el momento, hemos construido una acción explícita de la opérada A8 en la opérada de cactus, que presentamos en este pósterSymplectic and poisson structures with symmetries in interaction
http://hdl.handle.net/2117/24854
Title: Symplectic and poisson structures with symmetries in interaction
Authors: Miranda Galcerán, Eva
Abstract: Hamiltonian actions constitute a central object of study in symplectic
geometry. Special attention has been devoted to the toric case. Toric
symplectic manifolds provide natural examples of integrable systems
and every integrable system on a symplectic manifold is a toric manifold
in a neighbourhood of a compact fiber (Arnold–Liouville). The
classification of toric symplectic manifolds is given by Delzant’s theorem
in terms of the image of the moment map (Delzant polytope)....Wed, 26 Nov 2014 13:04:51 GMThttp://hdl.handle.net/2117/2485420141126T13:04:51ZMiranda Galcerán, EvanoHamiltonian actions constitute a central object of study in symplectic
geometry. Special attention has been devoted to the toric case. Toric
symplectic manifolds provide natural examples of integrable systems
and every integrable system on a symplectic manifold is a toric manifold
in a neighbourhood of a compact fiber (Arnold–Liouville). The
classification of toric symplectic manifolds is given by Delzant’s theorem
in terms of the image of the moment map (Delzant polytope)....Using integral eportfolio to learn linear algebra
http://hdl.handle.net/2117/24141
Title: Using integral eportfolio to learn linear algebra
Authors: García Planas, María Isabel; Taberna Torres, Judit
Abstract: The use of eportfolio is becoming common
in the learning and assessment of students. This is due to
the need of teachers to enhance student autonomy making
them to reflect on the process of learning. Lately, we have
worked with different software, facilitating its generation
and use. In this paper, the recent experience in the use of
eportfolio for undergraduate students of the Universitat
Polit`ecnica de Catalunya are set.Tue, 23 Sep 2014 10:24:06 GMThttp://hdl.handle.net/2117/2414120140923T10:24:06ZGarcía Planas, María Isabel; Taberna Torres, JuditnoEportfolio, integral eportfolio, linear
algebra.The use of eportfolio is becoming common
in the learning and assessment of students. This is due to
the need of teachers to enhance student autonomy making
them to reflect on the process of learning. Lately, we have
worked with different software, facilitating its generation
and use. In this paper, the recent experience in the use of
eportfolio for undergraduate students of the Universitat
Polit`ecnica de Catalunya are set.Introduction to Poisson Geometry
http://hdl.handle.net/2117/24114
Title: Introduction to Poisson Geometry
Authors: Miranda Galcerán, Eva; Scott, GeoffreyFri, 19 Sep 2014 09:04:11 GMThttp://hdl.handle.net/2117/2411420140919T09:04:11ZMiranda Galcerán, Eva; Scott, GeoffreynoEl eportafolio del estudiante en MaharaMoodle y Google Sites
http://hdl.handle.net/2117/23534
Title: El eportafolio del estudiante en MaharaMoodle y Google Sites
Authors: García Planas, María Isabel; Taberna Torres, Judit
Abstract: Es bien conocido el potencial que tiene el uso del eportfolio del estudiante para hacer visible tanto para el mismo como para los demás, de cómo y hasta que nivel ha logrado sus objetivos.
Para realizar un eportafolio se pueden utilizar distintas aplicaciones, entre ellas se encuentran Google Sites y Mahara.
Google Sites permite de forma sencilla editando una plantilla previamente preparada por el profesor, crear una página web como muestra de sus trabajos desarrollados a lo largo de sus estudios.
Mahara es un sistema de eportafolio que puede conectarse a Moodle y el cual puede ser controlado por el estudiante y puede ser visible por el grupo. Debido a la interoperabilidad de Mahara especialmente con Moodle, este permite que desde la plataforma de Atenea se puedan interconectar el profesorado con el eportafolio del estudiante.
En este trabajo presentamos los resultados obtenidos desde el año 2011 hasta la actualidad en las investigaciones realizadas sobre el eportafolio en el marco de la Universidad Politècnica de Catalunya.Thu, 17 Jul 2014 07:51:51 GMThttp://hdl.handle.net/2117/2353420140717T07:51:51ZGarcía Planas, María Isabel; Taberna Torres, Juditnoeportafolio, Moodle, Mahara, Google SitesEs bien conocido el potencial que tiene el uso del eportfolio del estudiante para hacer visible tanto para el mismo como para los demás, de cómo y hasta que nivel ha logrado sus objetivos.
Para realizar un eportafolio se pueden utilizar distintas aplicaciones, entre ellas se encuentran Google Sites y Mahara.
Google Sites permite de forma sencilla editando una plantilla previamente preparada por el profesor, crear una página web como muestra de sus trabajos desarrollados a lo largo de sus estudios.
Mahara es un sistema de eportafolio que puede conectarse a Moodle y el cual puede ser controlado por el estudiante y puede ser visible por el grupo. Debido a la interoperabilidad de Mahara especialmente con Moodle, este permite que desde la plataforma de Atenea se puedan interconectar el profesorado con el eportafolio del estudiante.
En este trabajo presentamos los resultados obtenidos desde el año 2011 hasta la actualidad en las investigaciones realizadas sobre el eportafolio en el marco de la Universidad Politècnica de Catalunya.Analysis of control properties]{Analysis of control properties of convolutional concatenated codes under linear systems point of view
http://hdl.handle.net/2117/22684
Title: Analysis of control properties]{Analysis of control properties of convolutional concatenated codes under linear systems point of view
Authors: García Planas, María Isabel; Um, Laurence Emilie; Souidi, El Mamoun
Abstract: In this paper we consider two models of concatenated convolutional codes from
the perspective of linear systems theory. We present an inputstateoutput representation of these models
and we study the conditions for control properties as controllability, observability as well as output observability.Thu, 24 Apr 2014 07:47:18 GMThttp://hdl.handle.net/2117/2268420140424T07:47:18ZGarcía Planas, María Isabel; Um, Laurence Emilie; Souidi, El MamounnoConvolutional codes, linear systems, outputobservabilityIn this paper we consider two models of concatenated convolutional codes from
the perspective of linear systems theory. We present an inputstateoutput representation of these models
and we study the conditions for control properties as controllability, observability as well as output observability.On the cuckersmale flocking model applied to a formation moving in a central force field around the Earth
http://hdl.handle.net/2117/22420
Title: On the cuckersmale flocking model applied to a formation moving in a central force field around the Earth
Authors: Paita, Fabrizio; Gomez Muntaner, Gerard; Masdemont Soler, Josep
Abstract: The Cucker – Smale (CS) flocking model is an interacting particles control system where every particle adjusts
its dynamics according to a weighted average between its velocity and those of the other elements of the flock.
Under this model, a rigid body configuration can be achieved exponentially fast for suitable initial configurations.
Furthermore, as shown by J. Shen, if the dynamics of the formation is driven by the presence of a free willed leader
then similar asymptotic results can be obtained. In the present paper we extend the CS control law in the context of a
multi – spacecraft system moving around a central body. Some new analytical results are given, as well as the results
of the numerical explorations that have been done to evaluate the performances of the control law, with particular
attention to its interaction with a central gravitational field. These performances have been evaluated mainly through
the use of two indicators: the evolution of the relative spacecrafts distances and the total fuel expended to maintain
the formation.Thu, 27 Mar 2014 19:10:58 GMThttp://hdl.handle.net/2117/2242020140327T19:10:58ZPaita, Fabrizio; Gomez Muntaner, Gerard; Masdemont Soler, JosepnoThe Cucker – Smale (CS) flocking model is an interacting particles control system where every particle adjusts
its dynamics according to a weighted average between its velocity and those of the other elements of the flock.
Under this model, a rigid body configuration can be achieved exponentially fast for suitable initial configurations.
Furthermore, as shown by J. Shen, if the dynamics of the formation is driven by the presence of a free willed leader
then similar asymptotic results can be obtained. In the present paper we extend the CS control law in the context of a
multi – spacecraft system moving around a central body. Some new analytical results are given, as well as the results
of the numerical explorations that have been done to evaluate the performances of the control law, with particular
attention to its interaction with a central gravitational field. These performances have been evaluated mainly through
the use of two indicators: the evolution of the relative spacecrafts distances and the total fuel expended to maintain
the formation.Jet Transport propagation of uncertainties for orbits around the Earth
http://hdl.handle.net/2117/21808
Title: Jet Transport propagation of uncertainties for orbits around the Earth
Authors: Pérez, Daniel; Masdemont Soler, Josep; Gómez Muntané, Gerard
Abstract: In this paper we present a tool to study the nonlinear propagation of uncertainties for orbits around the Earth.
The tool we introduce is known as Jet Transport and allows to propagate full neighborhoods of initial states instead of
a single initial state by means of usual numerical integrators. The description of the transported neighborhood is ob
tained in a semianalytical way by means of polynomials in 6 variables. These variables correspond to displacements
in the phase space from the reference point selected in an orbit as initial condition. The basis of the procedure is a
standard numerical integrator of ordinary differential equations (such as a RungeKutta or a Taylor method) where
the usual arithmetic is replaced by a polynomial arithmetic. In this way, the solution of the variational equations is
also obtained up to high order. This methodology is applied to the propagation of satellite trajectories and to the
computation of images of uncertainty ellipsoids including high order nonlinear descriptions. The procedure can be
specially adapted to the determination of collision probabilities with catalogued space debris or for the end of life
analysis of spacecraft in Medium Earth OrbitsFri, 28 Feb 2014 11:24:37 GMThttp://hdl.handle.net/2117/2180820140228T11:24:37ZPérez, Daniel; Masdemont Soler, Josep; Gómez Muntané, GerardnoIn this paper we present a tool to study the nonlinear propagation of uncertainties for orbits around the Earth.
The tool we introduce is known as Jet Transport and allows to propagate full neighborhoods of initial states instead of
a single initial state by means of usual numerical integrators. The description of the transported neighborhood is ob
tained in a semianalytical way by means of polynomials in 6 variables. These variables correspond to displacements
in the phase space from the reference point selected in an orbit as initial condition. The basis of the procedure is a
standard numerical integrator of ordinary differential equations (such as a RungeKutta or a Taylor method) where
the usual arithmetic is replaced by a polynomial arithmetic. In this way, the solution of the variational equations is
also obtained up to high order. This methodology is applied to the propagation of satellite trajectories and to the
computation of images of uncertainty ellipsoids including high order nonlinear descriptions. The procedure can be
specially adapted to the determination of collision probabilities with catalogued space debris or for the end of life
analysis of spacecraft in Medium Earth OrbitsEndoflife disposal of libration point orbit spacecraft
http://hdl.handle.net/2117/21807
Title: Endoflife disposal of libration point orbit spacecraft
Authors: Olikara, Zubin; Gómez Muntané, Gerard; Masdemont Soler, Josep
Abstract: In this work we investigate endoflife trajectories for
spacecraft in orbit about the SunEarth
L
1
and
L
2
libration points. A plan for decommission is often re
quired during the mission design process. We study
the spacecraft's natural dynamics in both a high
delity model and the circular restricted threebody
problem. In particular, we consider the role of the
unstable manifold and forbidden regions in determin
ing disposal outcomes. A simple maneuver scheme
to prevent returns to the Earth vicinity is also an
alyzed. We include discussion on potential collision
orbit schemes.Fri, 28 Feb 2014 11:10:49 GMThttp://hdl.handle.net/2117/2180720140228T11:10:49ZOlikara, Zubin; Gómez Muntané, Gerard; Masdemont Soler, JosepnoIn this work we investigate endoflife trajectories for
spacecraft in orbit about the SunEarth
L
1
and
L
2
libration points. A plan for decommission is often re
quired during the mission design process. We study
the spacecraft's natural dynamics in both a high
delity model and the circular restricted threebody
problem. In particular, we consider the role of the
unstable manifold and forbidden regions in determin
ing disposal outcomes. A simple maneuver scheme
to prevent returns to the Earth vicinity is also an
alyzed. We include discussion on potential collision
orbit schemes.A note on the dynamics around the Lagrange points of the EarthMoon system in a complete Solar System model
http://hdl.handle.net/2117/21806
Title: A note on the dynamics around the Lagrange points of the EarthMoon system in a complete Solar System model
Authors: Lian, Yijun; Gómez Muntané, Gerard; Masdemont Soler, Josep; Tang, Guojian
Abstract: This paper studies the dynamics of a massless particle around the
libration points of the Earth

Moon system in a
full Solar System gravitational
model. The study is based on the analysis of the quasi

periodic solutions around the
equilibrium points. For the analysis and computation of the quasi

periodic orbits, a novel iterative algorithm is
introduced which is
a combination of
the
multiple shooti
ng method
and
a refined Fourier analysis of the orbits
computed with the multiple shooting. Using as initial seeds the libration point orbits of Circular Restricted Three
Body Problem, determined by Lindstedt

Poincar
é
methods, the procedure is able to refi
ne them in a complete Solar
System model for large time

spans covering most of the relevant Sun

Earth

Moon periods. For the collinear points,
the developed approach works well and reveals the strong relevance of the phase space around the equilibrium point
s
in both models. For the triangular points, difficulties appear and an intermediate model (bicircular model, BCM) is
introduced to aid the refinement.Fri, 28 Feb 2014 10:59:44 GMThttp://hdl.handle.net/2117/2180620140228T10:59:44ZLian, Yijun; Gómez Muntané, Gerard; Masdemont Soler, Josep; Tang, GuojiannoThis paper studies the dynamics of a massless particle around the
libration points of the Earth

Moon system in a
full Solar System gravitational
model. The study is based on the analysis of the quasi

periodic solutions around the
equilibrium points. For the analysis and computation of the quasi

periodic orbits, a novel iterative algorithm is
introduced which is
a combination of
the
multiple shooti
ng method
and
a refined Fourier analysis of the orbits
computed with the multiple shooting. Using as initial seeds the libration point orbits of Circular Restricted Three
Body Problem, determined by Lindstedt

Poincar
é
methods, the procedure is able to refi
ne them in a complete Solar
System model for large time

spans covering most of the relevant Sun

Earth

Moon periods. For the collinear points,
the developed approach works well and reveals the strong relevance of the phase space around the equilibrium point
s
in both models. For the triangular points, difficulties appear and an intermediate model (bicircular model, BCM) is
introduced to aid the refinement.Differentiable families of stabilizers for planar bimodal linear control systems
http://hdl.handle.net/2117/21740
Title: Differentiable families of stabilizers for planar bimodal linear control systems
Authors: Ferrer Llop, Josep; Magret Planas, Maria dels Dolors; Peña Carrera, Marta
Abstract: We consider bimodal linear control systems consisting of two subsystems acting on each side of a given hyperplane,
assuming continuity along the separating hyperplane. For a differentiable family of controllable planar ones, we construct a
differentiable family of feedbacks which pointwise stabilizes both subsystems.Tue, 25 Feb 2014 09:03:00 GMThttp://hdl.handle.net/2117/2174020140225T09:03:00ZFerrer Llop, Josep; Magret Planas, Maria dels Dolors; Peña Carrera, MartanoControllability, parameterized families, feedback stabilizationWe consider bimodal linear control systems consisting of two subsystems acting on each side of a given hyperplane,
assuming continuity along the separating hyperplane. For a differentiable family of controllable planar ones, we construct a
differentiable family of feedbacks which pointwise stabilizes both subsystems.Structural stability of planar bimodal linear systems
http://hdl.handle.net/2117/21739
Title: Structural stability of planar bimodal linear systems
Authors: Ferrer Llop, Josep; Peña Carrera, Marta; Susín Sánchez, Antonio
Abstract: We consider bimodal linear dynamical systems consisting of two linear dynamics acting on each side of a given
hyperplane, assuming continuity along the separating hyperplane. Focusing in the planar case, we describe which of these
systems are structurally stable.Tue, 25 Feb 2014 08:57:11 GMThttp://hdl.handle.net/2117/2173920140225T08:57:11ZFerrer Llop, Josep; Peña Carrera, Marta; Susín Sánchez, AntonionoPiecewise linear system, structural stabilityWe consider bimodal linear dynamical systems consisting of two linear dynamics acting on each side of a given
hyperplane, assuming continuity along the separating hyperplane. Focusing in the planar case, we describe which of these
systems are structurally stable.Cyclic codes as hyperinvariant subspaces
http://hdl.handle.net/2117/21689
Title: Cyclic codes as hyperinvariant subspaces
Authors: García Planas, María Isabel; Magret Planas, Maria dels Dolors; Montoro López, Maria Eulalia
Abstract: It is known the relationship between cyclic codes and
invariant subspaces. We present in this work some
codes which are obtained from invariant and hyperinvariant
subspaces of the linear maps having associated
matrices, in the standard basis, of a special form. xxxFri, 21 Feb 2014 11:11:04 GMThttp://hdl.handle.net/2117/2168920140221T11:11:04ZGarcía Planas, María Isabel; Magret Planas, Maria dels Dolors; Montoro López, Maria EulalianoCyclic codes, hyperinvariant subspacesIt is known the relationship between cyclic codes and
invariant subspaces. We present in this work some
codes which are obtained from invariant and hyperinvariant
subspaces of the linear maps having associated
matrices, in the standard basis, of a special form. xxxPerturbation analysis of simple eigenvalues of singular linear systems
http://hdl.handle.net/2117/21567
Title: Perturbation analysis of simple eigenvalues of singular linear systems
Authors: Tarragona Romero, Sonia; García Planas, María Isabel
Abstract: In this work a study of the behavior of a simple
eigenvalue of singular linear system family
E
(
p
)_
x
=
A
(
p
)
x
+
B
(
p
)
u
,
y
=
C
(
p
)
x
smoothly dependent on
a vector of real parameters
p
= (
p
1
;:::;p
n
)
is pre
sentedThu, 13 Feb 2014 10:44:30 GMThttp://hdl.handle.net/2117/2156720140213T10:44:30ZTarragona Romero, Sonia; García Planas, María IsabelnoControl systems, Eigenvalues, PerturbationIn this work a study of the behavior of a simple
eigenvalue of singular linear system family
E
(
p
)_
x
=
A
(
p
)
x
+
B
(
p
)
u
,
y
=
C
(
p
)
x
smoothly dependent on
a vector of real parameters
p
= (
p
1
;:::;p
n
)
is pre
sentedVersal deformations of bilinear systems under outputinjection equivalence
http://hdl.handle.net/2117/21507
Title: Versal deformations of bilinear systems under outputinjection equivalence
Authors: García Planas, María Isabel
Abstract: Bilinear systems under output injection equivalence
are considered. The aim of this paper is to study what
happens when a slight perturbation affects the coeffi
cients of the matrices defining a bilinear equation in
C
n
. For this goal we will use the Arnold’s techniques,
that is to say we will construct a versal deformation of a
differentiable family of bilinear systems which are the
orthogonal linear varieties to the orbits of output injec
tion equivalent bilinear systems. Versal deformations
provide a special parametrization of bilinear systems
space, which can be applied to perturbation analysis
and investigation of complicated objects like singular
ities and bifurcations in multiparameter bilinear sys
temsTue, 11 Feb 2014 09:31:38 GMThttp://hdl.handle.net/2117/2150720140211T09:31:38ZGarcía Planas, María IsabelnoBilinear systems, versal deformations, equivalence relation, output injection.Bilinear systems under output injection equivalence
are considered. The aim of this paper is to study what
happens when a slight perturbation affects the coeffi
cients of the matrices defining a bilinear equation in
C
n
. For this goal we will use the Arnold’s techniques,
that is to say we will construct a versal deformation of a
differentiable family of bilinear systems which are the
orthogonal linear varieties to the orbits of output injec
tion equivalent bilinear systems. Versal deformations
provide a special parametrization of bilinear systems
space, which can be applied to perturbation analysis
and investigation of complicated objects like singular
ities and bifurcations in multiparameter bilinear sys
tems