Edit Profile (opens in new tab) Román-Roy, Narciso Co-Author Distance Author ID: roman-roy.narciso Published as: Román-Roy, Narciso; Román-Roy, N.; Román Roy, Narciso; Roman Roy, N.; Roman-Roy, N.; Román Roy, N. more...less External Links: MGP Documents Indexed: 84 Publications since 1986 1 Contribution as Editor Reviewing Activity: 34 Reviews Co-Authors: 34 Co-Authors with 80 Joint Publications 463 Co-Co-Authors all top 5 Co-Authors 5 single-authored 43 Muñoz-Lecanda, Miguel C. 25 Echeverría-Enríquez, Arturo 14 Gràcia, Xavier 10 de León Rodríguez, Manuel 10 Gaset, Jordi 10 Salgado, Modesto R. 10 Vilariño, Silvia 9 Marín-Solano, Jesús 9 Prieto-Martínez, Pedro Daniel 7 Rivas, Xavier 5 Cariñena, José F. 5 Marrero, Juan Carlos 5 Pons, Josep M. 4 Gomis, Joaquim 4 Marmo, Giuseppe 4 Martínez Fernández, Eduardo 3 Barbero-Liñán, María 3 Batlle, Carles 3 Martín de Diego, David 3 Rey, Angel M. 2 Colombo, Leonardo Jesus 2 Laínz, Manuel 2 Yániz-Fernández, F. Javier 1 Adame-Carrillo, David 1 Capriotti, Santiago 1 de Lucas, Javier 1 Gràcia Sabaté, Xavier 1 Guerra, Arnoldo IV 1 Ibort, Alberto 1 Llosa, Josep 1 Martín, Rubén 1 Salomone, Leandro M. 1 Victoria-Monge, Carles 1 Vilariõ, Silvia all top 5 Serials 14 Journal of Mathematical Physics 8 International Journal of Geometric Methods in Modern Physics 8 Journal of Geometric Mechanics 6 Journal of Physics A: Mathematical and Theoretical 5 Reports on Mathematical Physics 5 Journal of Physics A: Mathematical and General 4 International Journal of Theoretical Physics 3 Reviews in Mathematical Physics 2 Fortschritte der Physik 2 Annals of Physics 1 General Relativity and Gravitation 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Journal of Geometry and Physics 1 International Journal of Mathematics and Mathematical Sciences 1 Publicationes Mathematicae Debrecen 1 Acta Applicandae Mathematicae 1 Extracta Mathematicae 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Electronic Journal of Differential Equations (EJDE) 1 Mathematical Physics, Analysis and Geometry 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Publicaciones de la Real Sociedad Matemática Española 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Communications in Mathematics all top 5 Fields 75 Mechanics of particles and systems (70-XX) 35 Dynamical systems and ergodic theory (37-XX) 35 Differential geometry (53-XX) 18 Global analysis, analysis on manifolds (58-XX) 10 Partial differential equations (35-XX) 9 Algebraic topology (55-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Ordinary differential equations (34-XX) 5 Quantum theory (81-XX) 5 Relativity and gravitational theory (83-XX) 4 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 685 times in 287 Documents Cited by ▼ Year ▼ Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems. Zbl 0613.70012Batlle, C.; Gomis, J.; Pons, J. M.; Roman-Roy, N. 57 1986 Geometric Hamilton-Jacobi theory. Zbl 1158.70007Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 44 2006 Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems. Zbl 1337.70038Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 30 2010 Higher-order Lagrangian systems: Geometric structures, dynamics and constraints. Zbl 0778.58025Gràcia, X.; Pons, J. M.; Román-Roy, N. 25 1991 Geometry of multisymplectic Hamiltonian first-order field theories. Zbl 1007.70023Echeverria-Enríques, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 24 2000 Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories. Zbl 1241.70048Román-Roy, Narciso 23 2009 Multivector field formulation of Hamiltonian field theories: Equations and symmetries. Zbl 0982.70019Echeverría-Enríquez, A.; Muñoz-Lecanda, M. C.; Román-Roy, N. 21 1999 Geometrical setting of time-dependent regular systems. Alternative models. Zbl 0749.58020Echeverría Enríquez, A.; Muñoz Lecanda, M. C.; Román Roy, N. 20 1991 Multivector fields and connections: setting Lagrangian equations in field theories. Zbl 0927.37054Echeverría-Enríquez, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 20 1998 Geometry of Lagrangian first-order classical field theories. Zbl 0964.58015Echeverría-Enríquez, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 18 1996 Singular Lagrangian systems on jet bundles. Zbl 1010.37031de León, Manuel; Marín-Solano, Jesús; Marrero, Juan Carlos; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 18 2002 Lagrangian and Hamiltonian constraints for second-order singular Lagrangians. Zbl 0658.70017Batlle, C.; Gomis, J.; Pons, J. M.; Román-Roy, N. 17 1988 Lagrangian-Hamiltonian unified formalism for field theory. Zbl 1070.70015Echeverría-Enríquez, Arturo; López, Carlos; Marín-Solano, Jesús; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 17 2004 Skinner-Rusk unified formalism for optimal control systems and applications. Zbl 1126.70011Barbero-Liñán, María; Echeverría-Enríquez, Arturo; Martín de Diego, David; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 16 2007 Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems. Zbl 1242.70031Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 16 2011 A contact geometry framework for field theories with dissipation. Zbl 1433.53042Gaset, Jordi; Gràcia, Xavier; Muñoz-Lecanda, Miguel C.; Rivas, Xavier; Román-Roy, Narciso 16 2020 Reduction of polysymplectic manifolds. Zbl 1321.53094Marrero, Juan Carlos; Román-Roy, Narciso; Salgado, Modesto; Vilariño, Silvia 14 2015 On the \(k\)-symplectic, \(k\)-cosymplectic and multisymplectic formalisms of classical field theories. Zbl 1242.70053Román-Roy, Narciso; Rey, Ángel M.; Salgado, Modesto; Vilariño, Silvia 14 2011 Lagrangian theory for presymplectic systems. Zbl 0760.58018Muñoz Lecanda, M. C.; Roman Roy, N. 13 1992 Reduction of presymplectic manifolds with symmetry. Zbl 0983.53056Echeverría-Enríquez, A.; Muñoz-Lecanda, M. C.; Román-Roy, N. 13 1999 Symmetries and conversation laws in the Günther \(k\)-symplectic formalism of field theory. Zbl 1137.70016Román-Roy, Narciso; Salgado, Modesto; Vilariño, Silvia 12 2007 Pre-multisymplectic constraint algorithm for field theories. Zbl 1156.70317de León, Manuel; Marín-Solano, Jesús; Marrero, Juan Carlos; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 12 2005 Non-standard connections in classical mechanics. Zbl 0870.58006Echeverría-Enríquez, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 12 1995 A new multisymplectic unified formalism for second order classical field theories. Zbl 1372.70057Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 11 2015 Unified formalism for nonautonomous mechanical systems. Zbl 1152.81326Barbero-Liñán, María; Echeverría-Enríquez, Arturo; Martín de Diego, David; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 11 2008 Geometric reduction in optimal control theory with symmetries. Zbl 1051.49011Echeverría-Enríquez, A.; Marín-Solano, J.; Muñoz-Lecanda, M. C.; Román-Roy, N. 11 2003 Günther’s formalism (\(k\)-symplectic formalism) in classical field theory: Skinner-Rusk approach and the evolution operator. Zbl 1110.70025Rey, Angel M.; Román-Roy, Narciso; Salgado, Modesto 10 2005 Unified formalism for higher order non-autonomous dynamical systems. Zbl 1274.37033Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 9 2012 Multisymplectic unified formalism for Einstein-Hilbert gravity. Zbl 1387.83006Gaset, Jordi; Román-Roy, Narciso 8 2018 Geometric Hamilton-Jacobi theory for higher-order autonomous systems. Zbl 1298.53075Colombo, Leonardo; de León, Manuel; Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 8 2014 A \(K\)-contact Lagrangian formulation for nonconservative field theories. Zbl 1487.70095Gaset, Jordi; Gràcia, Xavier; Muñoz-Lecanda, Miguel C.; Rivas, Xavier; Román-Roy, Narciso 8 2021 Extended Hamiltonian systems in multisymplectic field theories. Zbl 1152.81420Echeverría-Enríquez, Arturo; de León, Manuel; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 7 2007 Remarks on multisymplectic reduction. Zbl 1402.53060Echeverría-Enríquez, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 7 2018 \(k\)-cosymplectic classical field theories: Tulczyjew and skinner-rusk formulations. Zbl 1253.70032Rey, Angel M.; Román-Roy, Narciso; Salgado, Modesto; Vilariño, Silvia 7 2012 Higher-order conditions for singular Lagrangian dynamics. Zbl 0759.70015Gràcia, X.; Pons, J. M.; Román-Roy, N. 6 1992 Unified formalism for the generalized \(k\)th-order Hamilton-Jacobi problem. Zbl 1305.70039Colombo, Leonardo; De Léon, Manuel; Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 6 2014 Origin of the Lagrangian constraints and their relation with the Hamiltonian formulation. Zbl 0644.70013Cariñena, José F.; López, Carlos; Román-Roy, Narciso 6 1988 On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory. Zbl 1314.70046Marrero, Juan Carlos; Román-Roy, Narciso; Salgado, Modesto; Vilariño, Silvia 6 2011 Hamilton-Jacobi theory in multisymplectic classical field theories. Zbl 1427.70061de León, Manuel; Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso; Vilariño, Silvia 6 2017 Higher-order mechanics: variational principles and other topics. Zbl 1284.35014Prieto-Martínez, Pedro D.; Román-Roy, Narciso 5 2013 Mathematical foundations of geometric quantization. Zbl 0978.53137Echeverría-Enríquez, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso; Victoria-Monge, Carles 5 1998 On the multimomentum bundles and the Legendre maps in field theories. Zbl 0953.70020Echeverría-Enríquez, A.; Muñoz-Lecanda, M. C.; Román-Roy, N. 5 2000 On the Legendre transformation for singular Lagrangians and related topics. Zbl 0642.58029Batlle, C.; Gomis, J.; Pons, J. M.; Román-Roy, N. 5 1987 New multisymplectic approach to the metric-affine (Einstein-Palatini) action for gravity. Zbl 1433.83005Gaset, Jordi; Román-Roy, Narciso 5 2019 Variational principles and symmetries on fibered multisymplectic manifolds. Zbl 1406.49054Gaset, Jordi; Prieto-Martínez, Pedro D.; Román-Roy, Narciso 5 2016 Structural aspects of Hamilton-Jacobi theory. Zbl 1375.70062Cariñena, J. F.; Gràcia, X.; Marmo, G.; Martínez, E.; Muñoz-Lecanda, M. C.; Román-Roy, N. 4 2016 On some aspects of the geometry of differential equations in physics. Zbl 1076.34005Gràcia, Xavier; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 4 2004 Higher-order contact mechanics. Zbl 1457.37083de León, Manuel; Gaset, Jordi; Laínz, Manuel; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 4 2021 Invariant forms and automorphisms of locally homogeneous multisymplectic manifolds. Zbl 1266.53034Echeverría-Enríquez, Arturo; Ibort, Alberto; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 4 2012 Constraint algorithm for singular field theories in the \(k\)-cosymplectic framework. Zbl 1434.70047Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso 4 2020 Skinner-Rusk formalism for \(k\)-contact systems. Zbl 1494.70003Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso 4 2022 A geometrical analysis of the field equations in field theory. Zbl 1009.53018Echeverría-Enríquez, A.; Muñoz-Lecanda, M. C.; Román-Roy, N. 3 2002 Variational principles for multisymplectic second-order classical field theories. Zbl 1378.70025Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 3 2015 Constraint algorithm for \(k\)-presymplectic Hamiltonian systems: application to singular field theories. Zbl 1186.53090Gràcia, Xavier; Martín, Rubén; Román-Roy, Narciso 3 2009 On the construction of \(\mathcal K\)-operators in field theories as sections along Legendre maps. Zbl 1028.58001Echeverría-Enríquez, Arturo; Marín-Solano, Jesús; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 3 2003 Constrained Lagrangian dissipative contact dynamics. Zbl 07452078de León, Manuel; Laínz, Manuel; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 3 2021 Order reduction, projectability and constraints of second-order field theories and higher-order mechanics. Zbl 1384.81067Gaset, Jordi; Román-Roy, Narciso 3 2016 Time-dependent Lagrangians invariant by a vector field. Zbl 1007.37026Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso; Yániz-Fernández, F. Javier 2 2001 Symmetries, Noether’s theorem and reduction in k-cosymplectic field theories. Zbl 1330.37052Marrero, Juan Carlos; Román-Roy, Narciso; Salgado, Modesto; Vilariõ, Silvia 2 2010 Reduction and reconstruction of multisymplectic Lie systems. Zbl 1507.34066de Lucas, Javier; Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso; Vilariño, Silvia 2 2022 Gauge systems: Presymplectic and group action formulations. Zbl 0797.58026Muñoz-Lecanda, M. C.; Román-Roy, N. 1 1993 Symmetries in \(k\)-symplectic field theories. Zbl 1148.70013Román-Roy, Narciso; Salgado, Modesto; Vilariño, Silvia 1 2008 Griffiths variational multisymplectic formulation for Lovelock gravity. Zbl 1457.49034Capriotti, Santiago; Gaset, Jordi; Román-Roy, Narciso; Salomone, L. 1 2020 A summary on symmetries and conserved quantities of autonomous Hamiltonian systems. Zbl 1460.37052Román-Roy, Narciso 1 2020 Implicit quasilinear differential systems: A geometrical approach. Zbl 0930.34032Muñoz-Lecanda, Miguel C.; Román-Roy, N. 1 1999 SOPDEs and nonlinear connections. Zbl 1249.53034Román-Roy, N.; Salgado, M.; Vilarino, S. 1 2011 Dynamics of constrained systems. Zbl 0655.58017Román-Roy, Narciso 1 1988 Multicontact formulation for non-conservative field theories. Zbl 1516.70051de León, Manuel; Gaset, Jordi; Muñoz-Lecanda, Miguel C.; Rivas, Xavier; Román-Roy, Narciso 1 2023 Multicontact formulation for non-conservative field theories. Zbl 1516.70051de León, Manuel; Gaset, Jordi; Muñoz-Lecanda, Miguel C.; Rivas, Xavier; Román-Roy, Narciso 1 2023 Skinner-Rusk formalism for \(k\)-contact systems. Zbl 1494.70003Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso 4 2022 Reduction and reconstruction of multisymplectic Lie systems. Zbl 1507.34066de Lucas, Javier; Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso; Vilariño, Silvia 2 2022 A \(K\)-contact Lagrangian formulation for nonconservative field theories. Zbl 1487.70095Gaset, Jordi; Gràcia, Xavier; Muñoz-Lecanda, Miguel C.; Rivas, Xavier; Román-Roy, Narciso 8 2021 Higher-order contact mechanics. Zbl 1457.37083de León, Manuel; Gaset, Jordi; Laínz, Manuel; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 4 2021 Constrained Lagrangian dissipative contact dynamics. Zbl 07452078de León, Manuel; Laínz, Manuel; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 3 2021 A contact geometry framework for field theories with dissipation. Zbl 1433.53042Gaset, Jordi; Gràcia, Xavier; Muñoz-Lecanda, Miguel C.; Rivas, Xavier; Román-Roy, Narciso 16 2020 Constraint algorithm for singular field theories in the \(k\)-cosymplectic framework. Zbl 1434.70047Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso 4 2020 Griffiths variational multisymplectic formulation for Lovelock gravity. Zbl 1457.49034Capriotti, Santiago; Gaset, Jordi; Román-Roy, Narciso; Salomone, L. 1 2020 A summary on symmetries and conserved quantities of autonomous Hamiltonian systems. Zbl 1460.37052Román-Roy, Narciso 1 2020 New multisymplectic approach to the metric-affine (Einstein-Palatini) action for gravity. Zbl 1433.83005Gaset, Jordi; Román-Roy, Narciso 5 2019 Multisymplectic unified formalism for Einstein-Hilbert gravity. Zbl 1387.83006Gaset, Jordi; Román-Roy, Narciso 8 2018 Remarks on multisymplectic reduction. Zbl 1402.53060Echeverría-Enríquez, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 7 2018 Hamilton-Jacobi theory in multisymplectic classical field theories. Zbl 1427.70061de León, Manuel; Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso; Vilariño, Silvia 6 2017 Variational principles and symmetries on fibered multisymplectic manifolds. Zbl 1406.49054Gaset, Jordi; Prieto-Martínez, Pedro D.; Román-Roy, Narciso 5 2016 Structural aspects of Hamilton-Jacobi theory. Zbl 1375.70062Cariñena, J. F.; Gràcia, X.; Marmo, G.; Martínez, E.; Muñoz-Lecanda, M. C.; Román-Roy, N. 4 2016 Order reduction, projectability and constraints of second-order field theories and higher-order mechanics. Zbl 1384.81067Gaset, Jordi; Román-Roy, Narciso 3 2016 Reduction of polysymplectic manifolds. Zbl 1321.53094Marrero, Juan Carlos; Román-Roy, Narciso; Salgado, Modesto; Vilariño, Silvia 14 2015 A new multisymplectic unified formalism for second order classical field theories. Zbl 1372.70057Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 11 2015 Variational principles for multisymplectic second-order classical field theories. Zbl 1378.70025Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 3 2015 Geometric Hamilton-Jacobi theory for higher-order autonomous systems. Zbl 1298.53075Colombo, Leonardo; de León, Manuel; Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 8 2014 Unified formalism for the generalized \(k\)th-order Hamilton-Jacobi problem. Zbl 1305.70039Colombo, Leonardo; De Léon, Manuel; Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 6 2014 Higher-order mechanics: variational principles and other topics. Zbl 1284.35014Prieto-Martínez, Pedro D.; Román-Roy, Narciso 5 2013 Unified formalism for higher order non-autonomous dynamical systems. Zbl 1274.37033Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 9 2012 \(k\)-cosymplectic classical field theories: Tulczyjew and skinner-rusk formulations. Zbl 1253.70032Rey, Angel M.; Román-Roy, Narciso; Salgado, Modesto; Vilariño, Silvia 7 2012 Invariant forms and automorphisms of locally homogeneous multisymplectic manifolds. Zbl 1266.53034Echeverría-Enríquez, Arturo; Ibort, Alberto; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 4 2012 Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems. Zbl 1242.70031Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 16 2011 On the \(k\)-symplectic, \(k\)-cosymplectic and multisymplectic formalisms of classical field theories. Zbl 1242.70053Román-Roy, Narciso; Rey, Ángel M.; Salgado, Modesto; Vilariño, Silvia 14 2011 On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory. Zbl 1314.70046Marrero, Juan Carlos; Román-Roy, Narciso; Salgado, Modesto; Vilariño, Silvia 6 2011 SOPDEs and nonlinear connections. Zbl 1249.53034Román-Roy, N.; Salgado, M.; Vilarino, S. 1 2011 Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems. Zbl 1337.70038Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 30 2010 Symmetries, Noether’s theorem and reduction in k-cosymplectic field theories. Zbl 1330.37052Marrero, Juan Carlos; Román-Roy, Narciso; Salgado, Modesto; Vilariõ, Silvia 2 2010 Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories. Zbl 1241.70048Román-Roy, Narciso 23 2009 Constraint algorithm for \(k\)-presymplectic Hamiltonian systems: application to singular field theories. Zbl 1186.53090Gràcia, Xavier; Martín, Rubén; Román-Roy, Narciso 3 2009 Unified formalism for nonautonomous mechanical systems. Zbl 1152.81326Barbero-Liñán, María; Echeverría-Enríquez, Arturo; Martín de Diego, David; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 11 2008 Symmetries in \(k\)-symplectic field theories. Zbl 1148.70013Román-Roy, Narciso; Salgado, Modesto; Vilariño, Silvia 1 2008 Skinner-Rusk unified formalism for optimal control systems and applications. Zbl 1126.70011Barbero-Liñán, María; Echeverría-Enríquez, Arturo; Martín de Diego, David; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 16 2007 Symmetries and conversation laws in the Günther \(k\)-symplectic formalism of field theory. Zbl 1137.70016Román-Roy, Narciso; Salgado, Modesto; Vilariño, Silvia 12 2007 Extended Hamiltonian systems in multisymplectic field theories. Zbl 1152.81420Echeverría-Enríquez, Arturo; de León, Manuel; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 7 2007 Geometric Hamilton-Jacobi theory. Zbl 1158.70007Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 44 2006 Pre-multisymplectic constraint algorithm for field theories. Zbl 1156.70317de León, Manuel; Marín-Solano, Jesús; Marrero, Juan Carlos; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 12 2005 Günther’s formalism (\(k\)-symplectic formalism) in classical field theory: Skinner-Rusk approach and the evolution operator. Zbl 1110.70025Rey, Angel M.; Román-Roy, Narciso; Salgado, Modesto 10 2005 Lagrangian-Hamiltonian unified formalism for field theory. Zbl 1070.70015Echeverría-Enríquez, Arturo; López, Carlos; Marín-Solano, Jesús; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 17 2004 On some aspects of the geometry of differential equations in physics. Zbl 1076.34005Gràcia, Xavier; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 4 2004 Geometric reduction in optimal control theory with symmetries. Zbl 1051.49011Echeverría-Enríquez, A.; Marín-Solano, J.; Muñoz-Lecanda, M. C.; Román-Roy, N. 11 2003 On the construction of \(\mathcal K\)-operators in field theories as sections along Legendre maps. Zbl 1028.58001Echeverría-Enríquez, Arturo; Marín-Solano, Jesús; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 3 2003 Singular Lagrangian systems on jet bundles. Zbl 1010.37031de León, Manuel; Marín-Solano, Jesús; Marrero, Juan Carlos; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 18 2002 A geometrical analysis of the field equations in field theory. Zbl 1009.53018Echeverría-Enríquez, A.; Muñoz-Lecanda, M. C.; Román-Roy, N. 3 2002 Time-dependent Lagrangians invariant by a vector field. Zbl 1007.37026Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso; Yániz-Fernández, F. Javier 2 2001 Geometry of multisymplectic Hamiltonian first-order field theories. Zbl 1007.70023Echeverria-Enríques, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 24 2000 On the multimomentum bundles and the Legendre maps in field theories. Zbl 0953.70020Echeverría-Enríquez, A.; Muñoz-Lecanda, M. C.; Román-Roy, N. 5 2000 Multivector field formulation of Hamiltonian field theories: Equations and symmetries. Zbl 0982.70019Echeverría-Enríquez, A.; Muñoz-Lecanda, M. C.; Román-Roy, N. 21 1999 Reduction of presymplectic manifolds with symmetry. Zbl 0983.53056Echeverría-Enríquez, A.; Muñoz-Lecanda, M. C.; Román-Roy, N. 13 1999 Implicit quasilinear differential systems: A geometrical approach. Zbl 0930.34032Muñoz-Lecanda, Miguel C.; Román-Roy, N. 1 1999 Multivector fields and connections: setting Lagrangian equations in field theories. Zbl 0927.37054Echeverría-Enríquez, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 20 1998 Mathematical foundations of geometric quantization. Zbl 0978.53137Echeverría-Enríquez, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso; Victoria-Monge, Carles 5 1998 Geometry of Lagrangian first-order classical field theories. Zbl 0964.58015Echeverría-Enríquez, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 18 1996 Non-standard connections in classical mechanics. Zbl 0870.58006Echeverría-Enríquez, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 12 1995 Gauge systems: Presymplectic and group action formulations. Zbl 0797.58026Muñoz-Lecanda, M. C.; Román-Roy, N. 1 1993 Lagrangian theory for presymplectic systems. Zbl 0760.58018Muñoz Lecanda, M. C.; Roman Roy, N. 13 1992 Higher-order conditions for singular Lagrangian dynamics. Zbl 0759.70015Gràcia, X.; Pons, J. M.; Román-Roy, N. 6 1992 Higher-order Lagrangian systems: Geometric structures, dynamics and constraints. Zbl 0778.58025Gràcia, X.; Pons, J. M.; Román-Roy, N. 25 1991 Geometrical setting of time-dependent regular systems. Alternative models. Zbl 0749.58020Echeverría Enríquez, A.; Muñoz Lecanda, M. C.; Román Roy, N. 20 1991 Lagrangian and Hamiltonian constraints for second-order singular Lagrangians. Zbl 0658.70017Batlle, C.; Gomis, J.; Pons, J. M.; Román-Roy, N. 17 1988 Origin of the Lagrangian constraints and their relation with the Hamiltonian formulation. Zbl 0644.70013Cariñena, José F.; López, Carlos; Román-Roy, Narciso 6 1988 Dynamics of constrained systems. Zbl 0655.58017Román-Roy, Narciso 1 1988 On the Legendre transformation for singular Lagrangians and related topics. Zbl 0642.58029Batlle, C.; Gomis, J.; Pons, J. M.; Román-Roy, N. 5 1987 Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems. Zbl 0613.70012Batlle, C.; Gomis, J.; Pons, J. M.; Roman-Roy, N. 57 1986 all cited Publications top 5 cited Publications all top 5 Cited by 261 Authors 44 de León Rodríguez, Manuel 39 Román-Roy, Narciso 29 Muñoz-Lecanda, Miguel C. 20 Gràcia, Xavier 15 Martín de Diego, David 15 Pons, Josep M. 14 Esen, Oğul 13 Vilariño, Silvia 12 Cariñena, José F. 12 Sardón, Cristina 11 Salgado, Modesto R. 10 Colombo, Leonardo Jesus 10 Gaset, Jordi 10 Marrero, Juan Carlos 10 Rivas, Xavier 8 Echeverría-Enríquez, Arturo 8 Prieto-Martínez, Pedro Daniel 8 Sardanashvily, Gennadi A. 7 Laínz, Manuel 7 Shirzad, Ahmad 7 Vaquero, Miguel 6 Marmo, Giuseppe 6 Vitagliano, Luca 5 Barbero-Liñán, María 5 de Lucas, Javier 5 García-Toraño Andrés, Eduardo 5 Mangiarotti, Luigi 5 Martínez Fernández, Eduardo 5 Rossi, Olga 4 Capriotti, Santiago 4 Leok, Melvin 4 Mestdag, Tom 4 Zając, Marcin 3 Blacker, Casey 3 Bua, Lucía 3 Garcia, J. Antonio 3 Gomis, Joaquim 3 Grabowska, Katarzyna 3 Grabowski, Janusz 3 Grillo, Sergio Daniel 3 Loran, Farhang 3 Marín-Solano, Jesús 3 Martín, Rubén 3 Molgado, Alberto 3 Ohsawa, Tomoki 3 Padrón, Edith 3 Rey, Angel M. 3 Sarlet, Willy 3 Wang, Hong 2 Alonso-Blanco, Ricardo J. 2 Berra-Montiel, Jasel 2 Bucataru, Joan 2 Çağatay Uçgun, Filiz 2 Campos, Cédric Martínez 2 Castrillón López, Marco 2 Chaichian, Masud 2 Ciaglia, Florio Maria 2 Cortés, Jorge 2 D’Alessandro, Domenico 2 Deguchi, Shinichi 2 Di Cosmo, Fabio 2 Díaz, Bogar 2 El-Nabulsi, Rami Ahmad 2 Ferraro, Sebastián J. 2 Giachetta, Giovanni 2 Grmela, Miroslav 2 Gümral, Hasan 2 Ibort, Alberto 2 Iglesias, David 2 Jiménez, Víctor Manuel 2 López-Gordón, Asier 2 Loumi-Fergane, Halima 2 Martínez, Sonia 2 Massa, Enrico 2 Mojiri, Mohsen 2 Munteanu, Florian 2 Pagani, Enrico M. 2 Pavelka, Michal 2 Pérez Alvarez, Javier 2 Popescu, Paul P. 2 Rañada, Manuel F. 2 Rodríguez-López, Ángel 2 Saunders, David J. 2 Śniatycki, Jędrzej 2 Sosa, Diana 2 Stratoglou, Efstratios 2 Suzuki, Takafumi 2 Waeyaert, G. 2 Wurzbacher, Tilmann 2 Yoshimura, Hiroaki 1 Adame-Carrillo, David 1 Ajji, Abdellah 1 Albertini, Francesca 1 Alishah, Hassan Najafi 1 Anahory Simoes, Alexandre 1 Ateşli, Begüm 1 Banerjee, Rabin 1 Baptista, Joao M. 1 Barbero G, J. Fernando 1 Bashkirov, Denis ...and 161 more Authors all top 5 Cited in 63 Serials 60 Journal of Mathematical Physics 34 International Journal of Geometric Methods in Modern Physics 30 Journal of Geometry and Physics 23 Journal of Geometric Mechanics 13 Reports on Mathematical Physics 12 Journal of Physics A: Mathematical and Theoretical 10 Letters in Mathematical Physics 9 Differential Geometry and its Applications 8 International Journal of Modern Physics A 5 International Journal of Theoretical Physics 5 Nuclear Physics. B 4 Modern Physics Letters A 4 Classical and Quantum Gravity 4 Reviews in Mathematical Physics 4 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Monatshefte für Mathematik 3 Acta Applicandae Mathematicae 3 Journal of Nonlinear Mathematical Physics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Differential Equations 2 Mathematical Physics, Analysis and Geometry 2 Mediterranean Journal of Mathematics 2 Foundations of Physics 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 International Journal of Control 1 Physics Letters. B 1 Theoretical and Mathematical Physics 1 Automatica 1 Proceedings of the American Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Physica D 1 Numerical Algorithms 1 Annals of Physics 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Advances in Applied Clifford Algebras 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 Multibody System Dynamics 1 Regular and Chaotic Dynamics 1 Journal of Dynamical and Control Systems 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Qualitative Theory of Dynamical Systems 1 Dynamical Systems 1 Foundations of Computational Mathematics 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Theoretical and Applied Mechanics 1 Journal of Geometry and Symmetry in Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Symmetry 1 Communications in Mathematics 1 Mathematics 1 Communications in Analysis and Mechanics all top 5 Cited in 26 Fields 225 Mechanics of particles and systems (70-XX) 108 Differential geometry (53-XX) 85 Dynamical systems and ergodic theory (37-XX) 44 Quantum theory (81-XX) 39 Global analysis, analysis on manifolds (58-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 27 Partial differential equations (35-XX) 26 Relativity and gravitational theory (83-XX) 12 Ordinary differential equations (34-XX) 9 Algebraic topology (55-XX) 9 Systems theory; control (93-XX) 7 Optics, electromagnetic theory (78-XX) 6 Nonassociative rings and algebras (17-XX) 5 Fluid mechanics (76-XX) 4 Numerical analysis (65-XX) 3 Topological groups, Lie groups (22-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Algebraic geometry (14-XX) 2 Approximations and expansions (41-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year