Geometría diferencial y Mecánica Geométrica
GADMNGT
Instituto de Ciencias Matemáticas
Madrid, EspañaPublicacions en col·laboració amb investigadors/es de Instituto de Ciencias Matemáticas (20)
2024
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A new perspective on nonholonomic brackets and Hamilton–Jacobi theory
Journal of Geometry and Physics, Vol. 198
2023
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A nonholonomic Newmark method
Journal of Computational and Applied Mathematics, Vol. 421
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Nonholonomic Brackets: Eden Revisited
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
2022
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Exact discrete Lagrangian mechanics for nonholonomic mechanics
Numerische Mathematik, Vol. 151, Núm. 1, pp. 49-98
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Jacobi fields in nonholonomic mechanics
Journal of Physics A: Mathematical and Theoretical, Vol. 55, Núm. 4
2021
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LOCAL CONVEXITY for SECOND ORDER DIFFERENTIAL EQUATIONS on A LIE ALGEBROID
Journal of Geometric Mechanics, Vol. 13, Núm. 3, pp. 477-499
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Radial kinetic nonholonomic trajectories are Riemannian geodesics!
Analysis and Mathematical Physics, Vol. 11, Núm. 4
2020
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Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread
Journal of Physics A: Mathematical and Theoretical, Vol. 53, Núm. 45
2018
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Automorphisms for Connections on Lie Algebroids
Mediterranean Journal of Mathematics, Vol. 15, Núm. 3
2015
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Morse families in optimal control problems
SIAM Journal on Control and Optimization, Vol. 53, Núm. 1, pp. 414-433
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The local description of discrete mechanics
Fields Institute Communications, Vol. 73, pp. 285-317
2013
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Poly-Poisson Structures
Letters in Mathematical Physics, Vol. 103, Núm. 10, pp. 1103-1133
2010
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A unified framework for mechanics: Hamilton-Jacobi equation and applications
Nonlinearity, Vol. 23, Núm. 8, pp. 1887-1918
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Hamilton-Jacobi theory in k-symplectic field theories
International Journal of Geometric Methods in Modern Physics, Vol. 7, Núm. 8, pp. 1491-1507
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Variational constrained mechanics on lie affgebroids
Discrete and Continuous Dynamical Systems - Series S, Vol. 3, Núm. 1, pp. 105-128
2009
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Courant morphisms and moment maps
Mathematical Research Letters, Vol. 16, Núm. 2, pp. 215-232
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Nonholonomic constraints: A new viewpoint
Journal of Mathematical Physics, Vol. 50, Núm. 1
2008
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A momentum-energy integrator for nonholonomic dynamics
AIP Conference Proceedings
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Momentum and energy preserving integrators for nonholonomic dynamics
Nonlinearity, Vol. 21, Núm. 8, pp. 1911-1928
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Vakonomic mechanics on Lie Affgebroids
AIP Conference Proceedings