Scientific contributions

• "Cotangent bundle reduction and Routh reduction for polysymplectic manifolds", S. Capriotti, V.A. Díaz, E. García-Toraño Andrés, T. Mestdag. Journal of Physics A: Mathematical and Theoretical, volume 55, number 41 (2022) DOI: https://doi.org/10.1088/1751-8121/ac91b3. Available in arxiv:  http://arxiv.org/abs/2205.00309

• "A parallel iterative method for variational integration", S.J. Ferraro, D. Martín de Diego, R.T. Sato Martín de Almagro. (2022) Available in arxiv: http://arxiv.org/abs/2206.08968v1

• "Parallel iterative methods for variational integration applied to navigation problems", S.J. Ferraro, D. Martín de Diego, R.T. Sato Martín de Almagro (2021) Available in arxiv: http://arxiv.org/abs/2109.05559v1 

• "A note on Hybrid Routh reductoin for time-dependent Lagrangian systems", L. Colombo, M.E. Eyrea Irazú, E. García-Toraño Andrés. Journal of Geometric Mechanics. (2020) DOI: 10.3934/jgm.2020014.  Available in arxiv:  http://arxiv.org/abs/2003.07484v1

• “Explicit equations from orbit reduction: one and two stages”, V.A. Diaz, M. Zuccalli. International Journal of Geometric Methods in Modern Physics. (2020) DOI:10.1142/S0219887820500243. Available in arxiv: http://arxiv.org/abs/1411.3276

• "Morse families and Dirac systems", M. Barbero-Liñán, H. Cendra, E. García-Toraño Andrés, D. Martín de Diego. Journal of Geometric Mechanics (2019) DOI: 10.3934/jgm.2019024. Available in arxiv: http://arxiv.org/abs/1804.04949v1

• "Routh reduction for first-order field theories", S. Capriotti, E. García-Toraño Andrés. Lett. Math. Phys. (2018) DOI: 10.1007/s11005-018-1140-6. Available in arxiv:  http://arxiv.org/abs/1807.03668v2

• “Generalized variational calculus for continuous and discrete mechanical systems”, V.A. Diaz, D. Martin de Diego. Journal of Geometric Mechanics. (2018) DOI: 10.3934/jgm.2018014. Available in arxiv: https://arxiv.org/pdf/1411.3276

• "Unified formalism for Palatini gravity", S. Capriotti. International Journal of Geometric Methods in Modern Physics, (2018) 

DOI: 10.1142/S0219887818500445. Available in arxiv:  http://arxiv.org/abs/1707.06057v1 

• "New insights in the geometry and interconnection of port-Hamiltonian systems",  M. Barbero-Liñán, H. Cendra, E. García-Toraño Andrés, D. Martín de Diego. J. Phys. A: Math. Theor. 51 (2018) DOI: 10.1088/1751-8121/aad4ba. Available in arxiv: http://arxiv.org/abs/1804.04951v2 

• “Lagrange-d’Alembert-Poincaré equations by several stages”, H. Cendra, V.A. Diaz. Journal of Geometric Mechanics. (2018) DOI: 10.3934/jgm.2018001. Available in arxiv: http://arxiv.org/abs/1406.7271

• "The inverse problem of the calculus of variations for discrete systems", M. Barbero-Liñán, M. Farré Puiggalí, S. Ferraro, D. Martín de Diego (2018) DOI: 10.1088/1751-8121/aab546. Available in arxiv: http://arxiv.org/abs/1708.04123v1

• "On the Geometry of the Hamilton-Jacobi Equation and Generating Functions", S. Ferraro, M. de León, J.C. Marrero, D. Martín de Diego, M. Vaquero. Archive for Rational Mechanics and Analysis 226 (2017) DOI: 10.1007/s00205-017-1133-0. Available in arxiv: http://arxiv.org/abs/1606.00847v2

• "Routh reduction and Cartan mechanics",  S. Capriotti. Journal of Geometry and Physics, (2017) DOI: 10.1016/j.geomphys.2016.11.015

Available in arxiv: http://arxiv.org/abs/1606.02630v2  

• "The interplay between Dirac systems, Morse families and Interconnection", M. Barbero-Liñán, H. Cendra, E. García-Toraño Andrés, D. Martín de Diego. (2017) Available in arxiv: http://arxiv.org/abs/1702.08596v2

• "Un-Reduction of Systems of Second-Order Ordinary Differential Equations", E. García-Toraño Andrés, T. Mestdag. SIGMA 12 (2016) DOI: 10.3842/SIGMA.2016.115. Available in arxiv: http://arxiv.org/abs/1606.07649v2

• "Implicit Lagrange-Routh Equations and Dirac Reduction", E. García-Toraño Andrés, T. Mestdag, H. Yoshimura. Journal of Geometry and Physics 104 (2016) DOI: 10.1016/j.geomphys.2016.02.010. Available in arxiv: http://arxiv.org/abs/1509.01946v2 

• "Reduced dynamics and Lagrangian submanifolds of symplectic manifolds", E. García-Toraño Andrés, E. Guzmán, J. C. Marrero, T. Mestdag. J. Phys. A: Math. Theor. 47 (2014) DOI: 10.1088/1751-8113/47/22/225203. Available in arxiv: http://arxiv.org/abs/1402.2847v2

• "Aspects of reduction and transformation of Lagrangian systems with symmetry", E. García-Toraño Andrés, B. Langerock, F. Cantrijn. Journal of Geometric Mechanics, 6 (2014). DOI: 10.3934/jgm.2014.6.1. Available in arxiv: http://arxiv.org/abs/1402.1295v1 

• "Double Lie algebras, semidirect product, and integrable systems", S. Capriotti, H. Montani. (2014) Available in arxiv: http://arxiv.org/abs/1209.3596v3

• "Differential geometry, Palatini gravity and reduction", S. Capriotti.  Journal of Mathematical Physics. (2014) DOI: 10.1063/1.4862855

• "Integrable systems on semidirect product Lie groups", S. Capriotti, H. Montani. Journal of Physics A. (2014) DOI: 10.1088/1751-8113/47/20/205206. Available in arxiv:  http://arxiv.org/abs/1307.0122v1

• "Geometric integrators for higher-order variational systems and their application to optimal control", L. Colombo, S. Ferraro, D. Martín de Diego (2014) Available in arxiv: http://arxiv.org/abs/1410.5766v2

• "New developments on the Geometric Nonholonomic Integrator", S. Ferraro, F. Jiménez, D. Martín de Diego (2013) Available in arxiv: http://arxiv.org/abs/1312.1587v2

• "Cartan algorithm and Dirac constraints for Griffiths variational problems", H. Cendra, S. Capriotti (2013) Available in arxiv: http://arxiv.org/abs/1309.4080v1

• "Discrete Lagrange–d’Alembert–Poincaré equations for Euler’s disk", C.M. Campos, H. Cendra, V.A. Diaz, D. Martin de Diego. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. (2012) DOI: 10.1007/s13398-011-0053-3

• "An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems", H. Cendra, M. Etchechoury, S.J. Ferraro (2012) Available in arxiv: http://arxiv.org/abs/1208.1953v2

• "Routh reduction and the class of magnetic Lagrangian systems", B. Langerock, E. García-Toraño Andrés, F. Cantrijn. J. Math. Phys. 53, 062902 (2012) DOI: 10.1063/1.4723841. Available in arxiv: http://arxiv.org/abs/1203.3302v2

• "AKS systems and Lepage equivalent problems", S. Capriotti. (2011) Available in arxiv: http://arxiv.org/abs/1101.1292v1

• "Dirac method and symplectic submanifolds in the cotangent bundle of a factorizable Lie group". S. Capriotti, H. Montani. Journal of Mathematical Physics. (2011) DOI: 10.1063/1.3603427. Available in arxiv: http://arxiv.org/abs/1011.2648v1

• "An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems", H. Cendra, M. Etchechoury, S.J. Ferraro (2011) Available in arxiv: http://arxiv.org/abs/1106.3354v2

• "Integrable Systems and Poisson-Lie T-duality: a finite dimensional example", S. Capriotti, H. Montani. Journal of Geometry and Physics. (2010) DOI: 10.1016/j.geomphys.2010.05.015. Available in arxiv: http://arxiv.org/abs/0910.3236v2

• "Dirac constraints in field theory and exterior differential systems", S. Capriotti. Journal of Geometric Mechanics. (2010) DOI: 10.3934/jgm.2010.2.1. Available in arxiv: http://arxiv.org/abs/0809.4508v3

• "Momentum and energy preserving integrators for nonholonomic dynamics", S. Ferraro, D. Iglesias, D. Martín de Diego. Nonlinearity (2008) DOI: 10.1088/0951-7715/21/8/009. Available in arxiv: http://arxiv.org/abs/0709.1463v3

• “The Lagrange-d’Alembert-Poincaré equations and integrability for the Euler disk”, H. Cendra, V.A. Diaz. Regular and chaotic dynamics. (2007) DOI: 10.1134/S1560354707010054. 

• “The Lagrange-d’Alembert-Poincaré equations and integrability for the rolling disk”, H. Cendra, V.A. Diaz. Regular and chaotic dynamics. (2006) DOI: 10.1070/RD2006v011n01ABEH000335.

• Seminar at Math Department, Universidad Nacional de La Plata. "Neural networks in mechanics" (in spanish), Viviana Díaz (2022).

• "Teoría clásica de campos", Santiago Capriotti, Third Argentinian Meeting on Geometric Mechanics and Mathematical Physics, La  Plata, 2022.

• "La fuerza de la matemática en movimiento: Mecánica", Viviana Díaz, Second Argentinian Meeting on Geometric Mechanics and Mathematical Physics, La Plata, 2019.

• 2024: "IV Argentinian Meeting of Geometric Mechanics and Mathematical Physics", Bahía Blanca, Argentina. In collaboration with Centro de Matemática de La Plata, Argentina.

• 2022: VII Iberoamerican Meeting on Geometry, Mechanics and Control, Bahía Blanca, Argentina.  In collaboration with GMCNetwork, Spain.

• 2021: Thematic Sesion "Geometric Mechanics, Control and its Interactions" at Latinoamerican Congress of Mathematicians, Montevideo, Uruguay. In collaboration with GMCNetwork, Spain. The videos session: Part 1 and Part 2.

• 2021: XVI Dr. Antonio Monteiro Congress, Bahía Blanca, Argentina.

• 2019: "II Argentinian Meeting of Geometric Mechanics and Mathematical Physics", La Plata, Argentina. In collaboration with Universidad Nacional de La Plata, Argentina.

• 2017: "Argentinian Meeting of Geometric Mechanics and Mathematical Physics", Mar del Plata, Argentina. In collaboration with Universidad Nacional de La Plata, Argentina.

• 2011: XI Dr. Antonio Monteiro Congress, Bahía Blanca, Argentina.

• 2011: II Iberoamerican Meeting on Geometry, Mechanics and Control, Bariloche, Argentina.  In collaboration with Instituto Balseiro, Argentina, and GMCNetwork, Spain.