Profile (CV) of the research teaching staff

Martínez Fernández, Eduardo
Department: Departamento de Matemática Aplicada
Field: Matemática Aplicada
Faculty: Facultad de Ciencias

Research Institute: INSTITUTO UNIVERSITARIO DE MATEMÁTICAS Y APLICACIONES (IUMA)
Group: ANÁLISIS Y FÍSICA MATEMÁTICA
Academic position: Prof. Titular Univ.
Email: emf@unizar.es
ORCID number: 0000-0003-3270-5681

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Journal articles

  • Martínez, E. Classical field theory on lie algebroids: Multisymplectic formalism. JOURNAL OF GEOMETRIC MECHANICS. 2018

  • Martinez, E. Linearization of nonlinear connections on vector and affine bundles, and some applications. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2018

  • Cariñena, J. F.; Gràcia, X.; Marmo, G.; Martínez, E.; Muñoz-Lecanda, M. C.; Román-Roy, N. Structural aspects of Hamilton-Jacobi theory. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2016

  • Marrero, J. C.;de Diego, D. M.;Martínez, E. The local description of discrete mechanics. FIELDS INSTITUTE COMMUNICATIONS. 2015

  • Martínez,E. Higher-order variational calculus on lie algebroids. JOURNAL OF GEOMETRIC MECHANICS. 2015

  • Cariñena, J. F.; Gheorghiu, I.; Martínez, E.; Santos, P. Virial theorem in quasi-coordinates and Lie algebroid formalism. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2014

  • Abrunheiro,L.;Camarinha,M.;Cariñena,J. F.;Clemente-Gallardo,J.;Martínez,E.;Santos,P. Some applications of quasi-velocities in optimal control. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2011

  • Asorey, M.;Martínez, E.;Cariñena, J. F. ;Clemente-Gallardo, J. AIP conference proceedings: preface. AIP CONFERENCE PROCEEDINGS. 2010

  • Cariñena, Jose F.;Gracia, Xavier;Marmo, Giuseppe;Martinez, Eduardo;Muñoz-Lecanda, Miguel C. ;Roman-Roy, Narciso. Geometric Hamilton-Jacobi Theory for Nonholonomic Dynamical Systems. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2010

  • Cortes, J.;de Leon,M.;Carlos Marrero,J.;Martinez,E. Nonholonomic Lagrangian Systems on Lie Algebroids. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2009

  • Iglesias, D.;Marrero,J. C.;de Diego,D. M.;Martinez,E. Discrete Nonholonomic Lagrangian Systems on Lie Groupoids. JOURNAL OF NONLINEAR SCIENCE. 2008

  • Martinez, E. Variational Calculus on Lie Algebroids. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. 2008

  • Iglesias, D.;Marrero,J. C.;Martin de Diego,D.;Martinez,E.;Padron,E. Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group. SPANISH JOURNAL OF PSYCHOLOGY. 2007

  • Martinez, E. Lie Algebroids in Classical Mechanics and Optimal Control. SPANISH JOURNAL OF PSYCHOLOGY. 2007

  • Marrero,J. C.;de Diego,D. M.;Martinez,E. Discrete Lagrangian and Hamiltonian mechanics on Lie groupoids. NONLINEARITY. 2006

  • Cariñena, J.F.; Gracia, X.; Marmo, G.; Martinez, E.; Muñoz-Lecanda, M.C.; Roman-Roy, N. Geometric Hamilton-Jacobi theory. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2006

  • Carinena,J. F.;Lazaro-Cami,J. A.;Martinez,E. On second Noether's theorem and gauge symmetries in mechanics. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2006

  • Cortes,J.;de Leon,M.;Marrero,J. C.;de Diego,D. M.;Martinez,E. A survey of Lagrangian Mechanics and control on Lie algebroids and groupoids. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2006

  • Martinez, E. Classical Field Theory on Lie Algebroids: Variational Aspects. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. 2005

  • de Leon, M.;Marrero, J. C.;Martinez, E. Lagrangian Submanifolds and Dynamics on Lie Algebroids. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. 2005

  • Cortes, Jorge;Martinez, Eduardo. Mechanical control systems on Lie algebroids. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION. 2004

  • Martinez, Eduardo. Reduction in optimal control theory. REPORTS ON MATHEMATICAL PHYSICS. 2004

  • Martinez, Eduardo;Mestdag, Tom;Sarlet, Willy. Lie algebroid structures and Lagrangian systems on affine bundles. JOURNAL OF GEOMETRY AND PHYSICS. 2002

  • Martinez, E. Lagrangian mechanics on lie algebroids. ACTA APPLICANDAE MATHEMATICAE. 2001

  • Lopez, C.; Martinez, E.; Rañada, M. F. Dynamical symmetries, non-Cartan symmetries and superintegrability of the n-dimensional harmonic oscillator. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. 1999

  • Sarlet, W.;Crampin, M.;Martinez, E. The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations. ACTA APPLICANDAE MATHEMATICAE. 1998

  • Martínez, E. Linealización de ecuaciones diferenciales de segundo orden. EXTRACTA MATHEMATICAE. 1996

  • Crampin, M.;Martinez, E.;Sarlet, W. Linear connections for systems of second-order ordinary differential equations. ANNALES DE L'IHP. PHYSIQUE THÉORIQUE. 1996

  • Cantrijn, F.;Sarlet, W.;Vandecasteele, A.;Martinez, E. Complete separability of time-dependent second-order ordinary differential equations. ACTA APPLICANDAE MATHEMATICAE. 1996

  • Martinez, E.;Cariñena, J. F. Geometric characterization of linearisable second-order differential equations. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. 1996

  • Sarlet, W.;Vandecasteele, A.;Cantrijn, F.;Martinez, E. Derivations of Forms Along a Map - the Framework for Time-Dependent 2nd-Order Equations. DIFFERENTIAL GEOMETRY AND ITS APPLICATION. 1995

  • Crampin, M.;Sarlet, W.;Martinez, E.;Byrnes, G. B.;Prince, G. E. Towards a Geometrical Understanding of Douglas Solution of the Inverse Problem of the Calculus of Variations. INVERSE PROBLEMS. 1994

  • Cariñena, J. F.;Martinez, E. A New Geometric Setting for Lax Equations. INTERNATIONAL JOURNAL OF MODERN PHYSICS A. 1994

  • Martinez, E.;Cariñena, J. F.;Sarlet, W. Geometric Characterization of Separable 2nd-Order Differential-Equations. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. 1993

  • Cariñena, J. F.;Fernandez Nuñez, J.;Martinez, E. A Geometric Approach to Noether 2nd Theorem in Time-Dependent Lagrangian Mechanics. LETTERS IN MATHEMATICAL PHYSICS. 1991

  • Cariñena, J. F.;Lopez, C.;Martinez, E. Sections Along a Map Applied to Higher-Order Lagrangian Mechanics - Noether Theorem. ACTA APPLICANDAE MATHEMATICAE. 1991

Conference presentations

  • Martinez, E. Lie Algebroids and Mechanics. AIP CONFERENCE PROCEEDINGS. 2009

Books

  • memoria presentada por Eduardo Martínez Fernández ; [bajo la dirección de José Fernando Cariñena]. Geometría de ecuaciones diferenciales aplicada a la mecánica. 1991



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