Papers

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Year: 2008
Paper Authors Journal Pagessort descending 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
Year: 2013
Paper Authors Journal Pagessort descending Volume URL
Cartan algorithm and Dirac constraints for Griffiths variational problems Hernán Cendra, Santiago Capriotti Preprint Arxiv paper
Symplectic spectral geometry of semiclassical operators Álvaro Pelayo Bulletin of the Belgian Mathematical Society paper
Relative Geodesics in the Special Euclidean Group Darryl D. Holm, Lyle Noakes, Joris Vankerschaver Arxiv paper
A survey on cosymplectic geometry Beniamino Cappelletti Montano, Antonio De Nicola, Ivan Yudin Arxiv paper
Groupoids and the tomographic picture of quantum mechanics A. Ibort, V.I. Manko, G. Marmo, A. Simoni, C. Stornaiolo Preprint Arxiv paper
Miura Reciprocal transformation for two integrable hierarchies in 1+1 dimensions P. G. Estevez, C. Sardon ArXiv preprint paper
A quasi--Lie schemes approach to second-order Gambier equations J.F. Cariñena, P. Guha, J. de Lucas ArXiv preprint paper
Dirac--Lie systems and Schwarzian equations J.F. Cariñena, J. Grabowski, J. de Lucas, C. Sardón 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
Drinfel'd doubles for (2+1)-gravity Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger ArXiv preprint paper
From constants of motion to superposition rules for Lie-Hamilton systems A. Ballesteros, J.F. Cariñena, F.J. Herranz, J. de Lucas, C. Sardón Arxiv paper
Toric actions on b-symplectic manifolds Victor Guillemin, Eva Miranda, Ana Rita Pires, Geoffrey Scott Preprint Arxiv paper
The Jacobiator of nonholonomic systems and the geometry of reduced nonholonomic brackets P. Balseiro ArXiv preprint paper
Lagrangian mechanics on centered semi-direct product Leonardo J. Colombo, Henry O. Jacobs ArXiv preprint paper
The anisotropic Higgs oscillator on the two-dimensional sphere and the hyperbolic plane Angel Ballesteros, Francisco J. Herranz, Fabio Musso ArXiv preprint paper
Sharp symplectic embeddings of cylinders Álvaro Pelayo, San Vũ Ngoc 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
Coupling symmetries with Poisson structures Camille Laurent-Gengoux, Eva Miranda ArXiv preprint paper
The local description of discrete Mechanics Juan Carlos Marrero, David Martín de Diego, Eduardo Martínez ArXiv preprint paper
The generalized Euler-Poinsot rigid body equations: explicit elliptic solutions Yuri N. Fedorov, Andrzej J. Maciejewski, Maria Przybylska Arxiv paper
An integer optimization problem for non-Hamiltonian periodic flows Álvaro Pelayo, Silvia Sabatini Preprint Arxiv paper
Realization of associative products in terms of Moyal and tomographic symbols A. Ibort, V. I. Man'ko, G. Marmo, A. Simoni, C. Stornaiolo, F. Ventriglia ArXiv preprint paper
Canonoid transformations and master symmetries José F. Cariñena, Fernando Falceto, Manuel F. Rañada ArXiv preprint paper
The affine invariant of generalized semitoric systems Álvaro Pelayo, Tudor S. Ratiu, San Vũ Ngoc Preprint Arxiv 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
Gradient dynamical systems on open surfaces and critical points of Green's functions Alberto Enciso, Daniel Peralta-Salas Arxiv paper
Nijenhuis forms on $L_\infty$-algebras M. J. Azimi, C. Laurent-Gengoux, J. M. Nunes da Costa Preprint Arxiv paper
Simultaneous deformations of algebras and morphisms via derived brackets Yael Fregier, Marco Zambon ArXiv preprint paper
Unimodularity and preservation of volumes in nonholonomic mechanics Yuri N. Fedorov, Luis C. García-Naranjo, Juan C. Marrero Arxiv paper
Poincaré-Birkhoff theorems in random dynamics Álvaro Pelayo, Fraydoun Rezakhanlou Preprint paper
The inhomogeneous Suslov problem Luis C. García-Naranjo, Andrzej J. Maciejewski, Juan C. Marrero, Maria Przybylska Preprint Arxiv paper
On a Poincaré lemma for singular foliations and geometric quantization Eva Miranda, Romero Solha Foliations 2012 Proceedings paper
Circle actions and geometric quantization Romero Solha ArXiv preprint paper
A class of Finsler surfaces whose geodesics are circles M. Crampin, T. Mestdag Arxiv paper
Reduction of polysymplectic manifolds Juan Carlos Marrero, Narciso Román-Roy, Modesto Salgado, Silvia Vilariño Preprint paper
Year: 2012
Paper Authors Journal Pagessort descending Volume URL
On Lie systems and Kummer-Schwarz equations J. de Lucas, C. Sardón ArXiv preprint paper
Lie systems: theory, generalisations and applications. J.F. Cariñena, J. de Lucas: preprint-arxiv paper
Log-concavity and symplectic flows Yi Lin, Álvaro Pelayo ArXiv preprint paper
Lie--Hamilton systems: theory and applications J.F. Cariñena, J. de Lucas, C. Sardón ArXiv preprint paper
Continuous-time distributed convex optimization on directed graphs. B. Gharesifard, J. Cortes: preprint-arxiv paper
Deformations of coisotropic submanifolds for fibrewise entire Poisson structures Florian Schaetz, Marco Zambon ArXiv preprint paper
Distributions and quotients on degree 1 NQ-manifolds and Lie algebroids Marco Zambon, Chenchang Zhu Preprint-arXiv paper
A geometric approach to a generalized virial theorem José F. Cariñena, Fernando Falceto, Manuel F. Rañada J. Phys. A: Math. Theor. 45 paper
Quantum algebras as quantizations of dual Poisson-Lie groups Angel Ballesteros, Fabio Musso ArXiv preprint paper
Distributed convergence to Nash equilibria by adversarial networks. B. Gharesifard, J. Cortes: preprint-arxiv paper
Nijenhuis and Compatible Tensors on Lie and Courant algebroids Paulo Antunes, Joana M. Nunes da Costa ArXiv preprint 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
On Single-Input Controllable Linear Systems Under Periodic DoS Jamming Attacks Hamed Shisheh Foroush, Sonia Martínez ArXiv preprint paper
A Hamiltonian Algorithm for Singular Optimal LQ Control Systems M. Delgado-Tellez, A. Ibort preprint-arxiv paper
The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach. J. F. Cariñena, M. F. Rañada, M. Santander Preprint-arXiv paper
Three natural mechanical systems on Stiefel varieties Y. N. Fedorov, B. Jovanovic Preprint-arXiv paper
Submanifolds that are level sets of solutions to a second-order elliptic PDE Alberto Enciso, Daniel Peralta-Salas 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
Lagrangian submanifolds and Hamilton-Jacobi equation M. Barbero-Liñán, M. de León, D. Martín de Diego ArXiv preprint paper
L-infinity algebra actions R. Mehta, M. Zambon Preprint-arXiv paper
Nonholonomic LL systems on central extensions and the hydrodynamic Chaplygin sleigh with circulation Luis C. García-Naranjo, Joris Vankerschaver ArXiv preprint 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
An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems Hernán Cendra, María Etchechoury, Sebastián J. Ferraro ArXiv preprint paper
Tensorial characterization and quantum estimation of weakly entangled qubits P. Aniello, J. Clemente-Gallardo, G. Marmo, G. F. Volkert Preprint-arXiv paper
Existence of knotted vortex tubes in steady Euler flows Alberto Enciso, Daniel Peralta-Salas ArXiv preprint paper
Higher order variational time discretization of optimal control problems C.M. Campos, O. Junge, S. Ober-Blöbaum preprint-arxiv paper
Strongly degenerate homogeneous pseudo-Kähler structures of linear type and complex plane waves M. Castrillón López, I. Luján ArXiv preprint 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
A new approach to the higher-order superintegrability of the Tremblay-Turbiner-Winternitz system Manuel F. Rañada J. Phys. A 45 paper
Symmetries, Newtonoids vector fields and conservation laws on the Lagrangian $k$-symplectic formalism Lucía Bua, Ioan Bucataru, Modesto Salgado preprint-arxiv paper
The Equivalence Problem of Curves in a Riemannian Manifold M. Castrillon Lopez, V. Fernandez Mateos, J. Munoz Masque ArXiv preprint paper
Presymplectic high order maximum principle M. Barbero-Liñán, M. C. Muñoz-Lecanda ArXiv preprint paper
Non-coboundary Poisson-Lie structures on the book group Angel Ballesteros, Alfonso Blasco, Fabio Musso J. Phys. A: Math and Theor 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
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
Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces José F. Cariñena, Manuel F. Rañada, Mariano Santander J. Phys. A: Math. Theor. 45 paper
Lagrangian submanifolds in k-symplectic settings. M. de León, S. Vilariño: Preprint-arXiv paper
$k$-symplectic Pontryagin's Maximum Principle for some families of PDEs M. Barbero-Liñán, M. C. Muñoz-Lecanda ArXiv preprint paper
Classification of real three-dimensional Poisson-Lie groups Angel Ballesteros, Alfonso Blasco, Fabio Musso J. Phys. A: Math and Theor paper
Year: 2011
Paper Authors Journal Pagessort descending Volume URL
Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds Cédric M. Campos, Elisa Guzmán, Juan Carlos Marrero Preprint paper
Universal Models Via Embedding and Reduction for Locally Conformal Symplectic Structures JC Marrero, D Martinez, E Padron Ann. Global Anal. Geom DOI 10.1007/s10455-011-9259-z paper
Discrete Lagrange D'Alembert-Poincaré equations for Euler's disk C. Martínez Campos, H. Cendra, V. Díaz, D. Martín de Diego RACSAM- Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. DOI 10.1007/s13398-011-0053-3 paper
A new Lie system approach to second-order Riccati equations J.F. Cariñena, J. de Lucas, C. Sardon Preprint-arXiv paper
Dirac structures, nonholonomic systems and reduction Madeleine Jotz, Tudor Ratiu Preprint-arXiv paper
Gauge Transformations, Twisted Poisson Brackets and Hamiltonization of Nonholonomic Systems P. Balseiro, L. Garcia Naranjo Preprint-arXiv paper
Kinematic reduction and the Hamilton-Jacobi equation. M. Barbero Liñan, J.C. Marrero, D. Martín de Diego, M. Muñoz Lecanda, Preprint-arXiv paper
Reduction of Homogeneous Riemannian Structures M. Castrillon Lopez, I. Lujan Preprint-arXiv paper
Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfeld, M. Jotz Indiana University Mathematics Journal paper
Energy-Based Voronoi Partition in Constant Flow Environments Y. Ru, S. Martínez Preprint-arXiv paper
Induced Dirac structure on isotropy type manifolds M. Jotz, T. Ratiu Transformation groups paper
Covariantizing Classical Field Theories Castrillón López, M. Gotay J. Geom. Mech. 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
HAMILTON-JACOBI THEORY FOR DEGENERATE LAGRANGIAN SYSTEMS WITH HOLONOMIC AND NONHOLONOMIC CONSTRAINTS MELVIN LEOK, TOMOKI OHSAWA, AND DIANA SOSA Preprint paper
Hierarchies and compatibility on Courant algebroids. P. Antunes, C. Laurent-Gengoux, J. M. Nunes da Costa: Preprint-arXiv paper
Smoothness of holonomy covers for singular foliations and essentia isotropy I. Androulidakis, M. Zambon Preprint-arXiv paper
An Extension of Christoffel-Duality to a Subset of Sturm Numbers and their Characteristic Words M. Castrillón López, M. Domínguez, T. Noll Theoretical Computer Science paper
Reduction of Lie-Jordan Banach algebras and quantum states F. Falceto, L. Ferro, A. Ibort, G. Marmo: Preprint-arXiv paper
On Variational Integrators for Optimal Control of Mechanical Control Systems. L. Colombo-D.Martín de Diego-M.Zuccalli RACSAM- Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. paper
Superposition rules for higher-order systems and their applications. J. F. Cariñena, J. Grabowski, J. de Lucas Preprint-arXiv paper
Year: 2005
Paper Authors Journal Pagessort descending Volume URL
Nonstandard connections in k-cosymplectic field theory. M. Muñoz-Lecanda, M. Salgado, S. Vilariño. J. Math. Phys 46 paper
Year: 2010
Paper Authors Journal Pagessort descending Volume URL
Three-dimensional gravity and Drinfel'd doubles: spacetimes and symmetries from quantum deformations Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger Physics Letters B 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
On two superintegrable nonlinear oscillators in N dimensions Angel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni preprint-arxiv paper
Higher Lie algebra actions on Lie algebroids M. Zambon- Chenchang Zhu Preprint paper

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