Instituto Universitario de Matemáticas y Aplicaciones
Institut d'investigació
David
Martín de Diego
Publicacions en què col·labora amb David Martín de Diego (44)
2023
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A nonholonomic Newmark method
Journal of Computational and Applied Mathematics, Vol. 421
2022
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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
2017
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On the Geometry of the Hamilton–Jacobi Equation and Generating Functions
Archive for Rational Mechanics and Analysis, Vol. 226, Núm. 1, pp. 243-302
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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Symplectic groupoids and discrete constrained lagrangian mechanics
Discrete and Continuous Dynamical Systems- Series A, Vol. 35, Núm. 1, pp. 367-397
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The local description of discrete mechanics
Fields Institute Communications, Vol. 73, pp. 285-317
2013
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Discrete dynamics in implicit form
Discrete and Continuous Dynamical Systems- Series A, Vol. 33, Núm. 3, pp. 1117-1135
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On the Hamilton-Jacobi theory for singular lagrangian systems
Journal of Mathematical Physics, Vol. 54, Núm. 3
2012
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Kinematic reduction and the Hamilton-Jacobi equation
Journal of Geometric Mechanics, Vol. 4, Núm. 3, pp. 207-237
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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Preface: Nonholonomic constraints in mechanics and optimal control theory
Discrete and Continuous Dynamical Systems - Series S
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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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Las matemáticas del sistema solar
Consejo Superior de Investigaciones Científicas, CSIC
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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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A momentum-energy integrator for nonholonomic dynamics
GEOMETRY AND PHYSICS XVI INTERNATIONAL FALL WORKSHOP
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Discrete nonholonomic lagrangian systems on lie groupoids
Journal of Nonlinear Science, Vol. 18, Núm. 3, pp. 221-276