Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Geometry of Mechanics. arXiv:2401.12650 Preprint, arXiv:2401.12650 [math-ph] (2024). MSC: 53B20 53B21 53D05 53D10 53D20 53D22 53Z05 58A30 70A05 70F20 70F25 70G10 70G45 70G65 70G75 70H03 70H05 70H15 70H20 70H25 70H33 BibTeX Cite \textit{M. C. Muñoz-Lecanda} and \textit{N. Román-Roy}, ``Geometry of Mechanics'', Preprint, arXiv:2401.12650 [math-ph] (2024) Full Text: arXiv OA License
de León, Manuel; Gaset, Jordi; Gràcia, Xavier; Muñoz-Lecanda, Miguel C.; Rivas, Xavier Time-dependent contact mechanics. (English) Zbl 1523.37071 Monatsh. Math. 201, No. 4, 1149-1183 (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J55 37J06 37J39 53D05 53D10 53Z05 70H45 PDFBibTeX XMLCite \textit{M. de León} et al., Monatsh. Math. 201, No. 4, 1149--1183 (2023; Zbl 1523.37071) Full Text: DOI arXiv
de León, Manuel; Lainz, Manuel; Muñoz-Lecanda, Miguel C. The Herglotz principle and vakonomic dynamics. (English) Zbl 1500.37043 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 183-190 (2021). Reviewer: Antonio De Nicola (Salerno) MSC: 37J55 37J60 37N35 49J15 70H30 70H45 53D10 53D15 PDFBibTeX XMLCite \textit{M. de León} et al., Lect. Notes Comput. Sci. 12829, 183--190 (2021; Zbl 1500.37043) Full Text: DOI arXiv
de León, Manuel; Laínz, Manuel; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Constrained Lagrangian dissipative contact dynamics. (English) Zbl 07452078 J. Math. Phys. 62, No. 12, Article ID 122902, 23 p. (2021). Reviewer: Makrina Agaoglou (Bristol) MSC: 37J55 37J51 70H45 70H30 70G45 53D10 70G75 PDFBibTeX XMLCite \textit{M. de León} et al., J. Math. Phys. 62, No. 12, Article ID 122902, 23 p. (2021; Zbl 07452078) Full Text: DOI arXiv
de León, Manuel; Gaset, Jordi; Laínz, Manuel; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Higher-order contact mechanics. (English) Zbl 1457.37083 Ann. Phys. 425, Article ID 168396, 34 p. (2021). MSC: 37J55 53D10 70H50 70G75 70G45 70H03 70H05 PDFBibTeX XMLCite \textit{M. de León} et al., Ann. Phys. 425, Article ID 168396, 34 p. (2021; Zbl 1457.37083) Full Text: DOI arXiv
Gaset, Jordi; Gràcia, Xavier; Muñoz-Lecanda, Miguel C.; Rivas, Xavier; Román-Roy, Narciso New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries. (English) Zbl 07809134 Int. J. Geom. Methods Mod. Phys. 17, No. 6, Article ID 2050090, 27 p. (2020). MSC: 37J55 53D10 70H05 70H33 70G45 70G65 70H03 PDFBibTeX XMLCite \textit{J. Gaset} et al., Int. J. Geom. Methods Mod. Phys. 17, No. 6, Article ID 2050090, 27 p. (2020; Zbl 07809134) Full Text: DOI arXiv
Cariñena, J. F.; Gràcia, X.; Marmo, G.; Martínez, E.; Muñoz-Lecanda, M. C.; Román-Roy, N. Structural aspects of Hamilton-Jacobi theory. (English) Zbl 1375.70062 Int. J. Geom. Methods Mod. Phys. 13, No. 2, Article ID 1650017, 29 p. (2016). MSC: 70H20 70G45 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., Int. J. Geom. Methods Mod. Phys. 13, No. 2, Article ID 1650017, 29 p. (2016; Zbl 1375.70062) Full Text: DOI arXiv
Muñoz-Lecanda, M.; Rodríguez-Olmos, M.; Teixidó-Román, M. A Hamiltonian study of the stability and bifurcations for the satellite problem. (English) Zbl 1378.70004 J. Nonlinear Sci. 25, No. 6, 1347-1390 (2015). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 70E15 70H14 70H33 37J20 37J25 PDFBibTeX XMLCite \textit{M. Muñoz-Lecanda} et al., J. Nonlinear Sci. 25, No. 6, 1347--1390 (2015; Zbl 1378.70004) Full Text: DOI arXiv
Barbero-Liñán, María; de León, Manuel; Martín de Diego, David; Marrero, Juan C.; Muñoz-Lecanda, Miguel C. Kinematic reduction and the Hamilton-Jacobi equation. (English) Zbl 1375.70061 J. Geom. Mech. 4, No. 3, 207-237 (2012). MSC: 70H20 70Q05 37J60 PDFBibTeX XMLCite \textit{M. Barbero-Liñán} et al., J. Geom. Mech. 4, No. 3, 207--237 (2012; Zbl 1375.70061) Full Text: DOI arXiv
Barbero-Liñán, M.; Muñoz-Lecanda, M. C. Presymplectic high order maximum principle. (English) Zbl 1260.49027 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 106, No. 1, 97-110 (2012). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49K15 49J15 70H05 70H50 PDFBibTeX XMLCite \textit{M. Barbero-Liñán} and \textit{M. C. Muñoz-Lecanda}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 106, No. 1, 97--110 (2012; Zbl 1260.49027) Full Text: DOI arXiv
Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems. (English) Zbl 1337.70038 Int. J. Geom. Methods Mod. Phys. 7, No. 3, 431-454 (2010). MSC: 70H20 37J60 70F25 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., Int. J. Geom. Methods Mod. Phys. 7, No. 3, 431--454 (2010; Zbl 1337.70038) Full Text: DOI arXiv
Barbero-Liñán, María; Muñoz-Lecanda, Miguel C. Strict abnormal extremals in nonholonomic and kinematic control systems. (English) Zbl 1184.49024 Discrete Contin. Dyn. Syst., Ser. S 3, No. 1, 1-17 (2010). MSC: 49K15 34A26 49J15 70G45 70H05 PDFBibTeX XMLCite \textit{M. Barbero-Liñán} and \textit{M. C. Muñoz-Lecanda}, Discrete Contin. Dyn. Syst., Ser. S 3, No. 1, 1--17 (2010; Zbl 1184.49024) Full Text: DOI arXiv
Barbero-Liñán, María; Muñoz-Lecanda, Miguel C. Constraint algorithm for extremals in optimal control problems. (English) Zbl 1181.49021 Int. J. Geom. Methods Mod. Phys. 6, No. 7, 1221-1233 (2009). MSC: 49K15 70G45 70H05 70H45 49M05 34H05 PDFBibTeX XMLCite \textit{M. Barbero-Liñán} and \textit{M. C. Muñoz-Lecanda}, Int. J. Geom. Methods Mod. Phys. 6, No. 7, 1221--1233 (2009; Zbl 1181.49021) Full Text: DOI arXiv
Barbero-Liñán, M.; Martín de Diego, D.; Muñoz-Lecanda, M. C. Lie algebroids and optimal control: abnormality. (English) Zbl 1178.49057 Etayo, Fernando (ed.) et al., Geometry and physics. XVII international fall workshop on geometry and physics, Castro Urdiales, Spain, 3–6 September 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0666-7/pbk). AIP Conference Proceedings 1130, 113-119 (2009). MSC: 49S05 70H25 PDFBibTeX XMLCite \textit{M. Barbero-Liñán} et al., AIP Conf. Proc. 1130, 113--119 (2009; Zbl 1178.49057)
Carinena, J. F.; Gracia, X.; Martinez, E.; Marmo, G.; Munoz-Lecanda, M. C.; Roman-Roy, N. Hamilton-Jacobi theory and the evolution operator. arXiv:0907.1039 Preprint, arXiv:0907.1039 [math-ph] (2009). MSC: 70H20 70G45 70H45 70H03 70H05 BibTeX Cite \textit{J. F. Carinena} et al., ``Hamilton-Jacobi theory and the evolution operator'', Preprint, arXiv:0907.1039 [math-ph] (2009) Full Text: arXiv OA License
Barbero-Liñán, María; Echeverría-Enríquez, Arturo; Martín de Diego, David; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Unified formalism for nonautonomous mechanical systems. (English) Zbl 1152.81326 J. Math. Phys. 49, No. 6, 062902, 14 p. (2008). MSC: 70G45 70H03 70H05 37J05 PDFBibTeX XMLCite \textit{M. Barbero-Liñán} et al., J. Math. Phys. 49, No. 6, 062902, 14 p. (2008; Zbl 1152.81326) Full Text: DOI arXiv
Barbero-Liñán, María; Echeverría-Enríquez, Arturo; Martín de Diego, David; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Skinner-Rusk formalism for optimal control. (English) Zbl 1235.49040 Iglesias Ponte, David (ed.) et al., Proceedings of the XV international workshop on geometry and physics, Puerto de la Cruz, Spain, September 11–16, 2006. Madrid: Real Sociedad Matemática Española (ISBN 978-84-935196-1-2/pbk). Publicaciones de la Real Sociedad Matemática Española 11, 225-230 (2007). MSC: 49K15 70H03 70H05 65L80 70Q05 PDFBibTeX XMLCite \textit{M. Barbero-Liñán} et al., Publ. R. Soc. Mat. Esp. 11, 225--230 (2007; Zbl 1235.49040)
Barbero-Liñán, María; Echeverría-Enríquez, Arturo; Martín de Diego, David; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Skinner-Rusk unified formalism for optimal control systems and applications. (English) Zbl 1126.70011 J. Phys. A, Math. Theor. 40, No. 40, 12071-12093 (2007). MSC: 70Q05 70G45 70H03 PDFBibTeX XMLCite \textit{M. Barbero-Liñán} et al., J. Phys. A, Math. Theor. 40, No. 40, 12071--12093 (2007; Zbl 1126.70011) Full Text: DOI arXiv
Cariñena, J. F.; Gràcia, X.; Marmo, G.; Martínez, E.; Munõz-Lecanda, M. C.; Román-Roy, N. A new geometrical setting for the Hamilton-Jacobi equation. (English) Zbl 1148.70011 de Andrés, Luis C. (ed.) et al., Proceedings of the XIV fall workshop on geometry and physics, Bilbao, Spain, September 14–16, 2005. Madrid: Real Sociedad Matemática Española (ISBN 84-933610-7-0/pbk). Publicaciones de la Real Sociedad Matemática Española 8, 198-204 (2006). MSC: 70H20 70G45 70H03 70H05 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., Publ. R. Soc. Mat. Esp. 8, 198--204 (2006; Zbl 1148.70011)
Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Geometric Hamilton-Jacobi theory. (English) Zbl 1158.70007 Int. J. Geom. Methods Mod. Phys. 3, No. 7, 1417-1458 (2006). MSC: 70H20 70G45 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., Int. J. Geom. Methods Mod. Phys. 3, No. 7, 1417--1458 (2006; Zbl 1158.70007) Full Text: DOI arXiv
Muñoz-Lecanda, M. C.; Román-Roy, N.; Yániz-Fernández, F. J. Time-dependent Lagrangian invariant by connection. (English) Zbl 1351.37221 González-López, Artemio (ed.) et al., Proceedings of the X fall workshop on geometry and physics. Proceedings of the workshop held in Miraflores de la Sierra (Madrid), Spain, September 27–29, 2001. Madrid: Real Sociedad Matemática Española (ISBN 84-92381-88-4/pbk). Publicaciones de la Real Sociedad Matemática Española 4, 215-223 (2003). MSC: 37J15 34C14 53C05 70H03 PDFBibTeX XMLCite \textit{M. C. Muñoz-Lecanda} et al., Publ. R. Soc. Mat. Esp. 4, 215--223 (2003; Zbl 1351.37221)
Gràcia, Xavier; Marín-Solano, Jesús; Muñoz-Lecanda, Miguel-C. Some geometric aspects of variational calculus in constrained systems. (English) Zbl 1038.37052 Rep. Math. Phys. 51, No. 1, 127-148 (2003). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J60 70F25 70H45 49S05 PDFBibTeX XMLCite \textit{X. Gràcia} et al., Rep. Math. Phys. 51, No. 1, 127--148 (2003; Zbl 1038.37052) Full Text: DOI
de León, Manuel; Marín-Solano, Jesús; Marrero, Juan Carlos; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Singular Lagrangian systems on jet bundles. (English) Zbl 1010.37031 Fortschr. Phys. 50, No. 2, 105-169 (2002). Reviewer: Paulo R.Rodrigues (Rio de Janeiro, RJ) MSC: 37J05 37C10 58A20 53C05 55R10 53D05 70G45 70H03 70H05 70H45 70S05 PDFBibTeX XMLCite \textit{M. de León} et al., Fortschr. Phys. 50, No. 2, 105--169 (2002; Zbl 1010.37031) Full Text: DOI arXiv
Gràcia, Xavier; Marín-Solano, Jesús; Muñoz-Lecanda, Miguel-C. Variational principles in mechanics: Geometric aspects. (English) Zbl 0967.70013 Llinares Fuster, Elisa (ed.) et al., Proceedings of the 7th fall workshop on differential geometry and its applications, Valencia, Spain, September 21-23, 1998. Madrid: Real Sociedad Matemática Española. Publ. R. Soc. Mat. Esp. 1, 81-94 (2000). MSC: 70H30 70F25 37N05 PDFBibTeX XMLCite \textit{X. Gràcia} et al., Publ. R. Soc. Mat. Esp. 1, 81--94 (2000; Zbl 0967.70013)
Echeverría-Enríquez, A.; Muñoz-Lecanda, M. C.; Román-Roy, N. Multivector field formulation of Hamiltonian field theories: Equations and symmetries. (English) Zbl 0982.70019 J. Phys. A, Math. Gen. 32, No. 48, 8461-8484 (1999). Reviewer: P.Presnajder (Bratislava) MSC: 70S05 70G45 37N05 70H05 PDFBibTeX XMLCite \textit{A. Echeverría-Enríquez} et al., J. Phys. A, Math. Gen. 32, No. 48, 8461--8484 (1999; Zbl 0982.70019) Full Text: DOI arXiv
Echeverría-Enríquez, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Multivector fields and connections: setting Lagrangian equations in field theories. (English) Zbl 0927.37054 J. Math. Phys. 39, No. 9, 4578-4603 (1998). MSC: 37K10 53C05 37N20 53D05 70H06 53D20 PDFBibTeX XMLCite \textit{A. Echeverría-Enríquez} et al., J. Math. Phys. 39, No. 9, 4578--4603 (1998; Zbl 0927.37054) Full Text: DOI arXiv
Muñoz Lecanda, M. C.; Roman Roy, N. Lagrangian theory for presymplectic systems. (English) Zbl 0760.58018 Ann. Inst. Henri Poincaré, Phys. Théor. 57, No. 1, 27-45 (1992). Reviewer: St.Janeczko (Warszawa) MSC: 37J99 70H03 PDFBibTeX XMLCite \textit{M. C. Muñoz Lecanda} and \textit{N. Roman Roy}, Ann. Inst. Henri Poincaré, Phys. Théor. 57, No. 1, 27--45 (1992; Zbl 0760.58018) Full Text: Numdam EuDML
Echeverría Enríquez, A.; Muñoz Lecanda, M. C. Variational calculus in several variables: A Hamiltonian approach. (English) Zbl 0737.70009 Ann. Inst. Henri Poincaré, Phys. Théor. 56, No. 1, 27-47 (1992). MSC: 70H05 70H03 70Sxx 70H20 PDFBibTeX XMLCite \textit{A. Echeverría Enríquez} and \textit{M. C. Muñoz Lecanda}, Ann. Inst. Henri Poincaré, Phys. Théor. 56, No. 1, 27--47 (1992; Zbl 0737.70009) Full Text: Numdam EuDML
Echeverría Enríquez, A.; Muñoz Lecanda, M. C.; Román Roy, N. Geometrical setting of time-dependent regular systems. Alternative models. (English) Zbl 0749.58020 Rev. Math. Phys. 3, No. 3, 301-330 (1991). Reviewer: Yu.E.Gliklikh (Voronezh) MSC: 37J99 70H99 PDFBibTeX XMLCite \textit{A. Echeverría Enríquez} et al., Rev. Math. Phys. 3, No. 3, 301--330 (1991; Zbl 0749.58020) Full Text: DOI
Muñoz Lecanda, M. C. Hamiltonian systems with constraints: a geometric approach. (English) Zbl 0697.58019 Int. J. Theor. Phys. 28, No. 11, 1405-1417 (1989). Reviewer: Guizhang Tu MSC: 70H45 70G45 37J99 PDFBibTeX XMLCite \textit{M. C. Muñoz Lecanda}, Int. J. Theor. Phys. 28, No. 11, 1405--1417 (1989; Zbl 0697.58019) Full Text: DOI