DGDSA  Geometria Diferencial, Sistemes Dinàmics i Aplicacions
http://hdl.handle.net/2117/3202
Sat, 10 Oct 2015 18:38:50 GMT
20151010T18:38:50Z

Reduction of polysymplectic manifolds
http://hdl.handle.net/2117/77056
Reduction of polysymplectic manifolds
Marrero, Juan Carlos; Román Roy, Narciso; Salgado Seco, Modesto; Vilariño, Silvia
The aim of this paper is to generalize the classical MarsdenWeinstein reduction procedure for symplectic manifolds to polysymplectic manifolds in order to obtain quotient manifolds which inherit the polysymplectic structure. This generalization allows us to reduce polysymplectic Hamiltonian systems with symmetries, such as those appearing in certain kinds of classical field theories. As an application of this technique, an analogue to the KirillovKostant Souriau theorem for polysymplectic manifolds is obtained and some other mathematical examples are also analyzed. Our procedure corrects some mistakes and inaccuracies in previous papers (Gunther 1987 J. Differ. Geom. 25 2353; Munteanu et al 2004 J. Math. Phys. 45 173051) on this subject.
Fri, 06 Feb 2015 00:00:00 GMT
http://hdl.handle.net/2117/77056
20150206T00:00:00Z

Unified formalism for the generalized kthorder HamiltonJacobi problem
http://hdl.handle.net/2117/27582
Unified formalism for the generalized kthorder HamiltonJacobi problem
Colombo, Leonardo; De León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso
The geometric formulation of the HamiltonJacobi theory enables us to generalize it to systems of higherorder ordinary differential equations. In this work we introduce the unified LagrangianHamiltonian formalism for the geometric HamiltonJacobi theory on higherorder autonomous dynamical systems described by regular Lagrangian functions.
Wed, 01 Oct 2014 00:00:00 GMT
http://hdl.handle.net/2117/27582
20141001T00:00:00Z

Geometric HamiltonJacobi theory for higherorder autonomous systems
http://hdl.handle.net/2117/27514
Geometric HamiltonJacobi theory for higherorder autonomous systems
Colombo, Leonardo; De León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso
The geometric framework for the HamiltonJacobi theory is used to study this theory in the background of higherorder mechanical systems, in both the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding HamiltonJacobi equations in these formalisms and apply our results to analyze some particular physical examples.
Fri, 13 Jun 2014 00:00:00 GMT
http://hdl.handle.net/2117/27514
20140613T00:00:00Z

Higherorder mechanics: variational principles and other topics
http://hdl.handle.net/2117/22510
Higherorder mechanics: variational principles and other topics
Prieto Martínez, Pedro Daniel; Román Roy, Narciso
After reviewing the LagrangianHamiltonian unified formalism (i.e, the SkinnerRusk formalism) for higherorder (nonautonomous) dynamical systems, we state a unified geometrical version of the Variational Principles which allows us to derive the Lagrangian and Hamiltonian equations for these kinds of systems. Then, the standard Lagrangian and Hamiltonian formulations of these principles and the corresponding dynamical equations are recovered from this unified framework.. © American Institute of Mathematical Sciences.
Sun, 01 Dec 2013 00:00:00 GMT
http://hdl.handle.net/2117/22510
20131201T00:00:00Z

Geometric HamiltonJacobi theory for higherorder autonomous systems
http://hdl.handle.net/2117/22509
Geometric HamiltonJacobi theory for higherorder autonomous systems
Colombo, Leonardo; de León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso
The geometric framework for the HamiltonJacobi theory is used to study this theory in the ambient of higherorder mechanical systems, both in the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding HamiltonJacobi equations in these formalisms and apply our results to analyze some particular physical examples.
Mon, 09 Sep 2013 00:00:00 GMT
http://hdl.handle.net/2117/22509
20130909T00:00:00Z

Unified formalism for the generalized kthorder HamiltonJacobi problem
http://hdl.handle.net/2117/21964
Unified formalism for the generalized kthorder HamiltonJacobi problem
Colombo, Leonardo; León, Manuel de; Prieto Martínez, Pedro Daniel; Román Roy, Narciso
The geometric formulation of the HamiltonJacobi theory enables u
s to generalize it to
systems of higherorder ordinary differential equations. In this w
ork we introduce the unified
LagrangianHamiltonian formalism for the geometric HamiltonJacob
i theory on higherorder
autonomous dynamical systems described by regular Lagrangian f
unctions.
Thu, 03 Oct 2013 00:00:00 GMT
http://hdl.handle.net/2117/21964
20131003T00:00:00Z

Reduction of polysymplectic manifolds
http://hdl.handle.net/2117/20217
Reduction of polysymplectic manifolds
Román Roy, Narciso; Marrero González, Juan Carlos; Salgado Seco, Modesto; Vilariño, Silvia
The aim of this paper is to generalize the classical Marsden
Weinstein reduction procedure
for symplectic manifolds to polysymplectic manifolds in or
der to obtain quotient manifolds which in
herit the polysymplectic structure. This generalization a
llows us to reduce polysymplectic Hamiltonian
systems with symmetries, suuch as those appearing in certai
n kinds of classical field theories. As an
application of this technique, an analogous to the Kirillov
KostantSouriau theorem for polysymplectic
manifolds is obtained and some other mathematical examples
are also analyzed.
Our procedure corrects some mistakes and inaccuracies in pr
evious papers [28, 48] on this subject.
Thu, 06 Jun 2013 00:00:00 GMT
http://hdl.handle.net/2117/20217
20130606T00:00:00Z

Kinematic reduction and the HamiltonJacobi equation
http://hdl.handle.net/2117/19874
Kinematic reduction and the HamiltonJacobi equation
Barbero Liñán, María; De León, Manuel; Martin de Diego, David; Marrero, Juan Carlos; Muñoz Lecanda, Miguel Carlos
A close relationship between the classical Hamilton
Jacobi theory and the kinematic reduction of control systems by
decoupling vector fields is shown in this paper. The geometric interpretation
of this relationship relies on new mathematical techniques
for mechanics defined on a skewsymmetric algebroid. This
geometric structure allows us to describe in a simplified way the
mechanics of nonholonomic systems with both control and external
forces.
Sun, 01 Jan 2012 00:00:00 GMT
http://hdl.handle.net/2117/19874
20120101T00:00:00Z

Characterization of accessibility for affine connection control systems at some points with nonzero velocity
http://hdl.handle.net/2117/16211
Characterization of accessibility for affine connection control systems at some points with nonzero velocity
Barbero Liñán, María
Affine connection control systems are mechanical control systems that model a wide range of real systems such as robotic legs, hovercrafts, planar rigid bodies, rolling pennies, snakeboards and so on. In 1997 the accessibility and a particular notion of controllability was intrinsically described by A. D. Lewis and R. Murray at points of zero velocity. Here, we present a novel generalization of the description of accessibility algebra for those systems at some points with nonzero velocity as long as the affine connection restricts to the distribution given by the symmetric closure. The results are used to describe the accessibility algebra of different mechanical control systems
Sat, 01 Jan 2011 00:00:00 GMT
http://hdl.handle.net/2117/16211
20110101T00:00:00Z

Higher education needs for the information and communication technology spanish market
http://hdl.handle.net/2117/14430
Higher education needs for the information and communication technology spanish market
Llorens García, Ariadna; Llinàs Audet, Francisco Javier; Ras Sabido, Antoni
Purpose: The main objective of the paper is to clarify the expectations held in the realm of business and by employers, in relation to the main educational parameters that respond to the employment needs of the Information and Communication Technology (ICT) market in Spain, considering both technical and managerial knowledge. It also assesses whether the Spanish Technical University is providing its graduates with the knowledge currently demanded by the sector. Design/methodology/approach: The report is based on a survey completed by 43 companies, which constitutes more than 60% of the sector and is representative of the entire range of subsectors that constitute the vast ICT industry in Spain. According to the sample construction, poststratification has been used for analyzing global results. Responses have been weighted according to the proportion that represents the employees’ population of the Spanish ICT sector. Findings: As a first conclusion of the current research it should be noted that in terms of technological knowledge, the gap between what the industry requires and the skills graduates can offer is, in general, much smaller than the gap relating to business management skills, where differences exceeding 25% have been demonstrated. This would suggest that the Spanish ICT sector needs to improve learning in the subjects related to business management. Originality/value: Finally, as an innovate factor since there are no previous bibliographic references on this topic, a surprising conclusion is that a significant segment of the Spanish ICT sector, specifically 51,2 % of the companies surveyed, did not distinguish between professional profiles, expressed indifference, and were equally likely to employ graduates as postgraduates. Although when the market was asked about the preferred profile for managerial positions, the results are quite different: 83.7% of respondents preferred a superior engineer qualification; 16.3%
Sat, 01 Oct 2011 00:00:00 GMT
http://hdl.handle.net/2117/14430
20111001T00:00:00Z