Papers

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Year: 2011
Paper Authors Journalsort descending Pages Volume URL
On the convergence time of asynchronous distributed quantized averaging algorithms M. Zhu, S. Martínez IEEE Transactions on Automatic Control 386-390 56(2) paper
A distributed Deterministic Annealing algorithm for optimal sensor coverage A. Kwok, S. Martínez IEEE Transactions on Control Systems Technology paper
Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfeld, M. Jotz Indiana University Mathematics Journal paper
A geometric approach to integrability of Abel differential equations J.F. Cariñena, Javier de Lucas, M.F. Rañada Int. J. Theoretical Physics IJTP4137 paper
The harmonic oscillator on three-dimensional spherical and hyperbolic spaces: Curvature dependent formalism and quantization J.F. Cariñena, M.F. Rañada, M. Santander Int. J.Theoretical Physics IJTP4102 paper
Discrete Second Order Euler-Poincaré Equations. An application to optimal control L. Colombo-F. Jiménez-D.Martín de Diego International Journal of Geometric Methods in Modern Physics paper
Harmonic almost contact structures via intrinsic torsion J.C. González-Dávila, F. Martín Cabrera Israel J. Math 145-187 181 paper
On a Kind Noether Symmetries and Conservation Laws in K-Cosymplectic Field Theory JC Marrero, N Roman-Roy, M Salgado, S Vilariño J Math Phys 22901 52 paper
Quasi-Lie schemes and second-order Riccati equations J.F. Cariñena, J. de Lucas J. Geom. Mech paper
Covariantizing Classical Field Theories Castrillón López, M. Gotay J. Geom. Mech. paper
Integrability of Lie systems through Riccati equations J.F. Cariñena, J. de Lucas J. Nonl. Math. Phys. 17 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
New superintegrable models with position-dependent mass from Bertrand's Theorem on curved spaces Angel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni J. Phys.: Conf. Ser paper
On the k-symplectic, k-cosymplectic and multisimplectic formalisms of classical field theories. A. M. Rey, N. Román-Roy, M. Salgado, S. Vilariño JGM 112-137 vol 3 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
Reduction of Poisson-Nijenhuis Lie algebroids to symplectic-Nijenhuis Lie algebroids with nondegenerate Nijenhuis tensor Antonio De Nicola, Juan Carlos Marrero, Edith Padron Journal of Physics A: Mathematical and Theoretical doi:10.1088/1751-8113/44/42/425206 44 paper
A construction for coisotropic subalgebras of Lie bialgebras M. Zambon Journal of Pure and Applied Algebra 411-419 215 paper
Universal lifting theorem and quasi-Poisson groupoids D. Iglesias Ponte, C. Laurent-Gengoux, P. Xu Journal of the European Mathematical Society paper
From action-angle coordinates to geometric quantization: a round trip Eva Miranda Oberwolfach report, Geometric quantization in the non-compact setting paper
Heterogeneous discounting in economic problems J. Marín-Solano, C. Patxot Optimal Control Applications and Methods paper
HAMILTON-JACOBI THEORY FOR DEGENERATE LAGRANGIAN SYSTEMS WITH HOLONOMIC AND NONHOLONOMIC CONSTRAINTS MELVIN LEOK, TOMOKI OHSAWA, AND DIANA SOSA Preprint paper
On the geometry of higher-order variational problems on Lie groups L. Colombo-D.Martín de Diego Preprint paper
Foliated groupoids and their infinitesimal data Madeleine Jotz, Cristian Ortiz Preprint paper
Glanon groupoids Madeleine Jotz, Mathieu Stiénon, Ping Xu Preprint paper
Characterization of accessibility for affine connection control systems at some points with nonzero velocity Maria Barbero Liñán Preprint paper
Storage Size Determination for Grid-Connected Photovoltaic Systems Yu Ru, Jan Kleissl, Sonia Martinez Preprint paper
Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds Cédric M. Campos, Elisa Guzmán, Juan Carlos Marrero Preprint paper
Reduction of Homogeneous Riemannian Structures M. Castrillon Lopez, I. Lujan Preprint-arXiv paper
Energy-Based Voronoi Partition in Constant Flow Environments Y. Ru, S. Martínez Preprint-arXiv paper
Hierarchies and compatibility on Courant algebroids. P. Antunes, C. Laurent-Gengoux, J. M. Nunes da Costa: Preprint-arXiv paper
Year: 2010
Paper Authors Journalsort descending Pages Volume URL
Distributed interpolation schemes for field estimation by mobile sensor networks S. Martínez IEEE Transactions on Control Systems Technology 491-500 18 (2) paper
Homogeneous structures on real and complex hyperbolic spaces M. Castrillón López, P.M. Gadea, A. Swann Illinois Journal of Mathematics 561-574 53 (2) paper
A Lie systems approach for the first passage-time of piecewise deterministic processes F. Avram, J.F. Cariñena, J. de Lucas in the book: Modern Trends of Controlled Stochastic Processes: Theory and Applications 144-160 paper
Hamilton-Jacobi theory in K-Symplectic field theories M de León, JC Marrero, D Martín de Diego, M Salgado, S Vilariño Int J. Geom. Meth. Mod. Phys 1491 -1507 7 paper
Reduction and construction of Poisson quasi-Nijenhuis manifolds with background F. Cordeiro, J. M. Nunes da Costa Int. J. Geom. Meth. Modern Phys. 539-564 7 paper
The canonical eight form on manifolds with holonomy group Spin(9) M. Castrillón López, P.M. Gadea, I. Mykytyuk Int. J. Geom. Methods in Modern Physics 1159-1183. 7(7) paper
Routh reduction for singular Lagrangians M. Castrillón López, B. Langerock Int. J. Geom. Methods in Modern Physics 1451-1489 7(8) paper
Lie systems and integrability conditions for t-dependent frequency harmonic oscillators J.F. Cariñena, J. de Lucas, M.F. Rañada Int. J. Geom. Methods Mod. Phys 289-310 7(2) paper
A geometric approach to integrability of Abel equations J.F. Cariñena, J. de Lucas, M.F. Rañada Int. J. Theor. Phys. 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
Deployment algorithms for a power-constrained mobile sensor network A. Kwok, S. Martínez International Journal of Robust and Nonlinear Contro 745–763 20(7) paper
Time-Dependent Mechanics and Lagrangian Submanifolds of Presymplectic and Poisson Manifolds E.L Guzman, JC Marrero J Phys a: Math Theoret 505201 43 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
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 geometric approach to the Gibbs-Appell equations in Lagrangian mechanics J. F. Cariñena and J. Fernández-Núñez J. Math. Phys. A: Math. Theor. 505205 43 paper
Phase splitting for periodic Lie systems R. Flores, J. de Lucas, Y. Vorobiev J. Phys A. 205208 43 paper
Lie families: theory and applications J.F. Cariñena, J. Grabowski, J. de Lucas J. Phys. A 305201 43 paper
The hydrodynamic Chaplygin sleigh Y.N. Fedorov, L.C. García-Naranjo J. Phys. A: Math. Theor. 434013 43 paper
Variational integrators for Discrete Lagrange Problems P.L. García, A. Fernández, C. Rodrigo Journal of Geometric Mechanics 343 - 374 2(4) paper
Hamiltonian Mechanical Systems on Lie Algebroids, Unimodularity and Preservation Of Volumes JC Marrero Journal of Geometric Mechanics 243-263 2 paper
Linear almost poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic mechanics M de León, JC Marrero, D Martín de Diego Journal of Geometrics mechanics 159 -198 2 paper
Optimal control of underactuated mechanical systems: A geometric approach L. Colombo, D. Martin de Diego, M. Zuccalli Journal of Mathematical Physic 83519 51(8) paper
Constrained Variational Calculus for Higher Order Classical Field Theories C. M. Campos, M. de Leon, D. Martin de Diego Journal of Physics A: Mathematical and Theoretical 455206 43(45) paper
Reduced classical field theories: k-cosymplectic formalism on Lie algebroids D. Martín de Diego, S. Vilariño Journal of Physics A: Mathematical and Theoretical 325204 43(32) paper
A note on the separability of canonical integrations of Lie algebroids D. Martínez Torres Math. Res. Lett 69-75 17(1) paper
Lagrangians of a non-mechanical type for second order Riccati and Abel equation J.F. Cariñena, M.F. Rañada Mon. Acad. Cienc. Zaragoza 165–177 33 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
3D Riemannian and Lorentzian spaces of non-constant curvature and their superintegrable Hamiltonians from a quantum sl2 algebra, A. Ballesteros, A. Enciso, F.J. Herranz and O. Ragnisco Phys. At. Nuclei 255–263 73 paper
Motion of charged particles in magnetic fields created by symmetric configurations of wires J. Aguirre, A. Luque, D. Peralta Phys. D 654-675 239 paper
On the tomographic picture of quantum mechanics A. Ibort, V.I. Manko, G. Marmo, A. Simoni, F. Ventriglia Phys.Lett.A 2614-2617 374 paper
A new exactly solvable quantum model in N dimensions Angel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni Physics Letters A paper
Star-product in the presence of a monopole J.F. Carinena, J.M. Gracia-Bondia, F. Lizzi, G. Marmo, P. Vitale Physics Letters A 3614-3618 35(2) paper
Three-dimensional gravity and Drinfel'd doubles: spacetimes and symmetries from quantum deformations Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger Physics Letters B paper
Higher Lie algebra actions on Lie algebroids M. Zambon- Chenchang Zhu Preprint paper
On two superintegrable nonlinear oscillators in N dimensions Angel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni preprint-arxiv paper
Year: 2013
Paper Authors Journalsort descending Pages Volume URL
Reduction of Lie--Jordan algebras: Quantum F. Falceto, L. Ferro, A. Ibort, G. Marmo Il Nuovo Cimento 107-115 C 36 03 paper
Poincaré-Birkhoff theorems in random dynamics Álvaro Pelayo, Fraydoun Rezakhanlou Preprint paper
Reduction of polysymplectic manifolds Juan Carlos Marrero, Narciso Román-Roy, Modesto Salgado, Silvia Vilariño Preprint paper
Hard Lefschetz theorem for Sasakian manifolds Beniamino Cappelletti Montano, Antonio De Nicola, Ivan Yudin Preprint paper
Non-existence of an invariant measure for a homogeneous ellipsoid rolling on the plane Luis C. García-Naranjo, Juan C. Marrero Preprint paper
An integer optimization problem for non-Hamiltonian periodic flows Álvaro Pelayo, Silvia Sabatini Preprint Arxiv paper
The affine invariant of generalized semitoric systems Álvaro Pelayo, Tudor S. Ratiu, San Vũ Ngoc Preprint Arxiv paper
Nijenhuis forms on $L_\infty$-algebras M. J. Azimi, C. Laurent-Gengoux, J. M. Nunes da Costa Preprint Arxiv paper
The inhomogeneous Suslov problem Luis C. García-Naranjo, Andrzej J. Maciejewski, Juan C. Marrero, Maria Przybylska Preprint Arxiv paper
Unified formalism for the generalized kth-order Hamilton-Jacobi problem Leonardo Colombo, Manuel de León, Pedro Daniel Prieto-Martínez, Narciso Román-Roy Preprint Arxiv paper
A singular initial-boundary value problem for nonlinear wave equations and holography in asymptotically anti-de Sitter spaces Alberto Enciso, Niky Kamran Preprint Arxiv paper
Lie-Hamilton systems on the plane: properties, classification and applications A. Ballesteros, A. Blasco, F.J. Herranz, J. de Lucas, C. Sardón Preprint Arxiv paper
Stability of Hamiltonian relative equilibria in symmetric magnetically confined rigid bodies Lyudmila Grigoryeva, Juan-Pablo Ortega, Stanislav Zub Preprint Arxiv paper
Examples of compact K-contact manifolds with no Sasakian metric Beniamino Cappelletti-Montano, Antonio de Nicola, Juan Carlos Marrero, Ivan Yudin Preprint Arxiv paper
New developments on the Geometric Nonholonomic Integrator Sebastián Ferraro, Fernando Jiménez, David Martín de Diego Preprint Arxiv paper
Cartan algorithm and Dirac constraints for Griffiths variational problems Hernán Cendra, Santiago Capriotti Preprint Arxiv paper
Groupoids and the tomographic picture of quantum mechanics A. Ibort, V.I. Manko, G. Marmo, A. Simoni, C. Stornaiolo Preprint Arxiv paper
Geometric Hamilton-Jacobi theory for higher-order autonomous systems Leonardo Colombo, Manuel de León, Pedro Daniel Prieto-Martínez, Narciso Román-Roy Preprint Arxiv paper
Toric actions on b-symplectic manifolds Victor Guillemin, Eva Miranda, Ana Rita Pires, Geoffrey Scott Preprint Arxiv paper
Self-adjoint extensions of the Laplace-Beltrami operator and unitaries at the boundary Alberto Ibort, Fernando LLedó, Juan Manuel Pérez-Pardo Preprint Arxiv paper
Year: 2005
Paper Authors Journalsort descending Pages Volume URL
Nonstandard connections in k-cosymplectic field theory. M. Muñoz-Lecanda, M. Salgado, S. Vilariño. J. Math. Phys 46 paper
Year: 2012
Paper Authors Journalsort descending Pages Volume URL
A new approach to the higher-order superintegrability of the Tremblay-Turbiner-Winternitz system Manuel F. Rañada J. Phys. A 45 paper
Non-coboundary Poisson-Lie structures on the book group Angel Ballesteros, Alfonso Blasco, Fabio Musso J. Phys. A: Math and Theor paper
Classification of real three-dimensional Poisson-Lie groups Angel Ballesteros, Alfonso Blasco, Fabio Musso J. Phys. A: Math and Theor paper
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
L-infinity algebra actions R. Mehta, M. Zambon Preprint-arXiv paper
Higher order variational time discretization of optimal control problems C.M. Campos, O. Junge, S. Ober-Blöbaum 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
Symmetries, Newtonoids vector fields and conservation laws on the Lagrangian $k$-symplectic formalism Lucía Bua, Ioan Bucataru, Modesto Salgado preprint-arxiv paper
On the tomographic description of classical fields. A.Ibort, A. Lopez-Yela, V. I. Man'ko, G. Marmo, A. Simoni, E. C. G. Sudarshan, F. Ventriglia Preprint-arXiv paper
Three lectures on global boundary conditions and the theory of self--adjoint extensions of the covariant Laplace--Beltrami and Dirac operators on Riemannian manifolds with boundary Alberto Ibort preprint-arxiv paper
Year: 2008
Paper Authors Journalsort descending Pages Volume URL
K-symplectic formalism on Lie algebroids. M. de León, D. Martín de Diego, M. Salgado, S. Vilariño J. Phys. A: Math and Theor 42 paper
An extension of the Marsden-Ratiu reduction for Poisson manifolds Marco Zambon Letters in Mathematical Physics 203-219 85 paper
Year: 2009
Paper Authors Journalsort descending 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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