Papers

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New developments on the Geometric Nonholonomic Integrator, Sebastián Ferraro, Fernando Jiménez, David Martín de Diego

Examples of compact K-contact manifolds with no Sasakian metric, Beniamino Cappelletti-Montano, Antonio de Nicola, Juan Carlos Marrero, Ivan Yudin

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Year: 2010
Paper Authorssort descending Journal Pages Volume URL
Discrete-time dynamic average consensus M. Zhu, S. Martínez Automatica 322-329 46 (2) paper
k-symplectic and k-cosymplectic Lagrangian field theories: some interesting examples and applications M.C. Muñoz-Lecanda, M. Salgado, S. Vilariño International Journal of Geometric Methods in Modern Physics 669-692 7(4) paper
A new proof of the higher-order superintegrability of a noncentral oscillator with inversely quadratic nonlinearities M.F. Rañada, M.A. Rodríguez, M. Santander J. Math. Phys. 42901 51(4) paper
A Unified Framework for Mechanics. Hamilton-Jacobi Equation and Applications P Balseiro, JC Marrero, D Martín de Diego, E Padrón Nonlinearity 1887- 1918 23 paper
Variational integrators for Discrete Lagrange Problems P.L. García, A. Fernández, C. Rodrigo Journal of Geometric Mechanics 343 - 374 2(4) paper
On Jacobi quasi-Nijenhuis algebroids and Courant-Jacobi algebroid morphisms R. Caseiro, A. De Nicola, J. M. Nunes da Costa J. Geom. and Phys 951-961 60 paper
On Jacobi quasi-Nijenhuis algebroids and Courant-Jacobi algebroid morphisms R. Caseiro, A. De Nicola, J. Nunes J. Geom. and Phys. 951-961 60 paper
Phase splitting for periodic Lie systems R. Flores, J. de Lucas, Y. Vorobiev J. Phys A. 205208 43 paper
Distributed interpolation schemes for field estimation by mobile sensor networks S. Martínez IEEE Transactions on Control Systems Technology 491-500 18 (2) paper
The hydrodynamic Chaplygin sleigh Y.N. Fedorov, L.C. García-Naranjo J. Phys. A: Math. Theor. 434013 43 paper
Year: 2011
Paper Authorssort descending Journal Pages Volume URL
Foliated groupoids and their infinitesimal data Madeleine Jotz, Cristian Ortiz Preprint paper
Glanon groupoids Madeleine Jotz, Mathieu Stiénon, Ping Xu Preprint paper
Dirac structures, nonholonomic systems and reduction Madeleine Jotz, Tudor Ratiu Preprint-arXiv paper
Characterization of accessibility for affine connection control systems at some points with nonzero velocity Maria Barbero Liñán Preprint paper
HAMILTON-JACOBI THEORY FOR DEGENERATE LAGRANGIAN SYSTEMS WITH HOLONOMIC AND NONHOLONOMIC CONSTRAINTS MELVIN LEOK, TOMOKI OHSAWA, AND DIANA SOSA Preprint paper
SOPDES and non-linear connections N. Román-Roy, M. Salgado, S. Vilariño Publicationes Mathematicae Debrecen 78 paper
Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems N.Roman Roy- P.D Prieto Martínez Journal of Phys A 385203 44 paper
Hierarchies and compatibility on Courant algebroids. P. Antunes, C. Laurent-Gengoux, J. M. Nunes da Costa: Preprint-arXiv paper
Gauge Transformations, Twisted Poisson Brackets and Hamiltonization of Nonholonomic Systems P. Balseiro, L. Garcia Naranjo Preprint-arXiv paper
Unified formalism for higher-order non-autonomous dynamical systems. P. D. Prieto Martínez, N. Román Roy Preprint-arXiv paper
Classical Lie symmetries and reductions of a nonisospectral Lax pair P. G. Estevez, M.L. Gandarias, J. de Lucas J. of Nonl. Math. Phys. paper
The homogeneous geometries of real hyperbolic space. The homogeneous geometries of real hyperbolic space. Preprint-arXiv paper
Codimension one symplectic foliations and regular Poisson manifolds V. Guillemin, E. Miranda, Ana Rita Pires Bulletin of the Brazilian mathematical society paper
Energy-Based Voronoi Partition in Constant Flow Environments Y. Ru, S. Martínez Preprint-arXiv paper
Storage Size Determination for Grid-Connected Photovoltaic Systems Yu Ru, Jan Kleissl, Sonia Martinez Preprint paper
Year: 2012
Paper Authorssort descending Journal Pages Volume URL
A Hamilton-Jacobi Theory for Singular Lagrangian Systems in the Skinner and Rusk Setting Manuel de León, David Martín de Diego, Miguel Vaquero preprint-arxiv paper
A Universal Hamilton-Jacobi Theory Manuel de León, David Martín de Diego, Miguel Vaquero ArXiv preprint paper
On the Hamilton-Jacobi Theory for Singular Lagrangian Systems Manuel de León, Juan Carlos Marrero, David Martín de Diego, Miguel Vaquero preprint-arxiv paper
Distributions and quotients on degree 1 NQ-manifolds and Lie algebroids Marco Zambon, Chenchang Zhu Preprint-arXiv paper
Morse families in optimal control problems María Barbero-Liñán, David Iglesias Ponte, David Martín de Diego ArXiv preprint paper
Time-ordering and a generalized Magnus expansion Michel Bauer, Raphael Chetrite, Kurusch Ebrahimi-Fard, Frederic Patras preprint-arxiv paper
Variational principles for higher-order dynamical systems N.Roman Roy- P.D Prieto Martínez Preprint-arXiv paper
Tensorial characterization and quantum estimation of weakly entangled qubits P. Aniello, J. Clemente-Gallardo, G. Marmo, G. F. Volkert Preprint-arXiv paper
Nijenhuis and Compatible Tensors on Lie and Courant algebroids Paulo Antunes, Joana M. Nunes da Costa ArXiv preprint paper
L-infinity algebra actions R. Mehta, M. Zambon Preprint-arXiv paper
Symplectic and Poisson geometry on b-manifolds Victor Guillemin, Eva Miranda, Ana Rita Pires preprint-arxiv paper
Three natural mechanical systems on Stiefel varieties Y. N. Fedorov, B. Jovanovic Preprint-arXiv paper
The motion of the 2D hydrodynamic Chaplygin sleigh in the presence of circulation Y. N. Fedorov, L. C. García-Naranjo, J. Vankerschaver Preprint-arXiv paper
Log-concavity and symplectic flows Yi Lin, Álvaro Pelayo ArXiv preprint paper
The Picard Fuchs equations for complete hyperelliptic integrals of even order curves, and the actions of the generalized Neumann system Yuri Fedorov, Chara Pantazi preprint-arxiv paper
Year: 2013
Paper Authorssort descending Journal Pages Volume URL
Higher-order superintegrability of separable potentials with a new approach to the Post-Winternitz system Manuel F. Rañada J. Phys. A: Math. Theor. 125206 46 paper
Hyperstructures on Lie algebroids P. Antunes, J. M. Nunes da Costa Arxiv paper
The Jacobiator of nonholonomic systems and the geometry of reduced nonholonomic brackets P. Balseiro ArXiv preprint paper
Miura Reciprocal transformation for two integrable hierarchies in 1+1 dimensions P. G. Estevez, C. Sardon ArXiv preprint paper
Circle actions and geometric quantization Romero Solha ArXiv preprint paper
Null Phase Curves and Manifolds in Geometric Phase Theory S. Chaturvedi, E. Ercolessi, G. Morandi, A. Ibort, G. Marmo, N. Mukunda, R. Simon ArXiv preprint paper
New developments on the Geometric Nonholonomic Integrator Sebastián Ferraro, Fernando Jiménez, David Martín de Diego Preprint Arxiv paper
Voevodsky's Univalence Axiom in homotopy type theory Steve Awodey, Álvaro Pelayo, Michael A. Warren Notices of the American Mathematical Society paper
Toric actions on b-symplectic manifolds Victor Guillemin, Eva Miranda, Ana Rita Pires, Geoffrey Scott Preprint Arxiv paper
A generalization of Szebehely's inverse problem of dynamics W. Sarlet, T. Mestdag, G. Prince Rep. Math. Phys, paper
Homotopy moment maps Yael Fregier, Christopher L. Rogers, Marco Zambon Arxiv paper
Simultaneous deformations of algebras and morphisms via derived brackets Yael Fregier, Marco Zambon ArXiv preprint paper
The generalized Euler-Poinsot rigid body equations: explicit elliptic solutions Yuri N. Fedorov, Andrzej J. Maciejewski, Maria Przybylska Arxiv paper
Unimodularity and preservation of volumes in nonholonomic mechanics Yuri N. Fedorov, Luis C. García-Naranjo, Juan C. Marrero Arxiv paper
Year: 2008
Paper Authorssort descending Journal Pages Volume URL
An extension of the Marsden-Ratiu reduction for Poisson manifolds Marco Zambon Letters in Mathematical Physics 203-219 85 paper
Year: 2007
Paper Authorssort descending Journal Pages Volume URL
N. Román-Roy, M. Salgado, S. Vilariño N. Román-Roy, M. Salgado, S. Vilariño. Rev. Math. Phys. 1117-1147. 19 paper
Year: 2009
Paper Authorssort descending Journal Pages Volume URL
A catalog of inverse-kinematics planners for underactuated systems on matrix groups S. Martínez, J. Cortés, F. Bullo Journal of Geometric Mechanics 445-460 1 (4) paper

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