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: 2012
Paper Authors Journal Pagessort descending Volume URL
On Lie systems and Kummer-Schwarz equations J. de Lucas, C. Sardón 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
Lie--Hamilton systems: theory and applications J.F. Cariñena, J. de Lucas, C. Sardón 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
A Hamiltonian Algorithm for Singular Optimal LQ Control Systems M. Delgado-Tellez, A. Ibort preprint-arxiv paper
Quantum algebras as quantizations of dual Poisson-Lie groups Angel Ballesteros, Fabio Musso ArXiv preprint paper
A geometric approach to a generalized virial theorem José F. Cariñena, Fernando Falceto, Manuel F. Rañada J. Phys. A: Math. Theor. 45 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
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
On Single-Input Controllable Linear Systems Under Periodic DoS Jamming Attacks Hamed Shisheh Foroush, Sonia Martínez 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
Non-coboundary Poisson-Lie structures on the book group Angel Ballesteros, Alfonso Blasco, Fabio Musso J. Phys. A: Math and Theor paper
Submanifolds that are level sets of solutions to a second-order elliptic PDE Alberto Enciso, Daniel Peralta-Salas ArXiv preprint paper
Lagrangian submanifolds in k-symplectic settings. M. de León, S. Vilariño: Preprint-arXiv paper
Higher order variational time discretization of optimal control problems C.M. Campos, O. Junge, S. Ober-Blöbaum preprint-arxiv paper
Classification of real three-dimensional Poisson-Lie groups Angel Ballesteros, Alfonso Blasco, Fabio Musso J. Phys. A: Math and Theor paper
Symmetries, Newtonoids vector fields and conservation laws on the Lagrangian $k$-symplectic formalism Lucía Bua, Ioan Bucataru, Modesto Salgado preprint-arxiv paper
A numerical algorithm for singular optimal LQ control systems M. Delgado-Tellez, A. Ibort preprint-arxiv paper
Spectrum generating algebra for the continuous spectrum of a free particle in Lobachevski space M. Gadella, J. Negro, G.P. Pronko, M. Santander 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
Mixed superposition rules and the Riccati hierarchy Janusz Grabowski and Javier de Lucas 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
Optimal Control Realizations of Lagrangian Systems with Symmetry M. Delgado-Tellez, A. Ibort, T. Rodriguez de la Peña 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
Variational principles for higher-order dynamical systems N.Roman Roy- P.D Prieto Martínez Preprint-arXiv paper
Existence of knotted vortex tubes in steady Euler flows Alberto Enciso, Daniel Peralta-Salas ArXiv preprint paper
The Geometry of Integrable and Superintegrable Systems A. Ibort and G. Marmo 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
Quantum Control and Representation Theory A. Ibort, J.M. Pérez-Pardo preprint-arxiv paper
Strongly degenerate homogeneous pseudo-Kähler structures of linear type and complex plane waves M. Castrillón López, I. Luján ArXiv preprint paper
Reduction of symplectic principal $\mathbb{R}$-bundles Ignazio Lacirasella, Juan Carlos Marrero, Edith Padrón 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
Discrete Variational Optimal Control Fernando Jimenez, Marin Kobilarov, David Martin de Diego Preprint-arXiv paper
Holonomy transformations for singular foliations Iakovos Androulidakis, Marco Zambon preprint-arxiv paper
Causality and the conformal boundary of AdS in real-time holography Alberto Enciso, Niky Kamran 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
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers Jaume Llibre, Daniel Peralta-Salas 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
Distributions and quotients on degree 1 NQ-manifolds and Lie algebroids Marco Zambon, Chenchang Zhu Preprint-arXiv paper
Year: 2013
Paper Authors Journal Pagessort descending Volume URL
Higher-order discrete variational problems with constraints Leonardo Colombo, David Martín de Diego, Marcela Zuccalli Submit to J. Math Phy paper
Symplectic spectral geometry of semiclassical operators Álvaro Pelayo Bulletin of the Belgian Mathematical Society paper
Cartan algorithm and Dirac constraints for Griffiths variational problems Hernán Cendra, Santiago Capriotti Preprint Arxiv paper
Homotopy moment maps Yael Fregier, Christopher L. Rogers, Marco Zambon Arxiv paper
The anisotropic Higgs oscillator on the two-dimensional sphere and the hyperbolic plane Angel Ballesteros, Francisco J. Herranz, Fabio Musso ArXiv preprint paper
Miura Reciprocal transformation for two integrable hierarchies in 1+1 dimensions P. G. Estevez, C. Sardon ArXiv preprint paper
The Ehrenfest picture and the geometry of Quantum Mechanics J. Clemente-Gallardo, G. Marmo Arxiv paper
A quasi--Lie schemes approach to second-order Gambier equations J.F. Cariñena, P. Guha, J. de Lucas ArXiv preprint paper
Groupoids and the tomographic picture of quantum mechanics A. Ibort, V.I. Manko, G. Marmo, A. Simoni, C. Stornaiolo Preprint Arxiv paper
Hamilton-Jacobi theory in k-cosymplectic field theories M. de León, S. Vilariño Arxiv paper
Hard Lefschetz theorem for Sasakian manifolds Beniamino Cappelletti Montano, Antonio De Nicola, Ivan Yudin Preprint paper
Drinfel'd doubles for (2+1)-gravity Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger ArXiv preprint 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
Hyperstructures on Lie algebroids P. Antunes, J. M. Nunes da Costa Arxiv paper
Toric actions on b-symplectic manifolds Victor Guillemin, Eva Miranda, Ana Rita Pires, Geoffrey Scott Preprint Arxiv paper
Superintegrable quantum oscillator and Kepler-Coulomb systems on curved spaces Angel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni The XXIX International Colloquium on Group-Theoretical Methods in Physics", August 20-26, 2012, Chern Institute of Mathematics, Tianjin, China. Nankai Series in Pure, Applied Mathematics and Theoretical Physics, Chengming Bai paper
The Jacobiator of nonholonomic systems and the geometry of reduced nonholonomic brackets P. Balseiro ArXiv preprint paper
Convex bodies of states and maps Janusz Grabowski, Alberto Ibort, Marek Kus, Giuseppe Marmo Arxiv paper
Lagrangian mechanics on centered semi-direct product Leonardo J. Colombo, Henry O. Jacobs ArXiv preprint 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
Unified formalism for higher-order variational problems and its applications in optimal control Leonardo Colombo, Pedro D. Prieto-Martínez 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
An integer optimization problem for non-Hamiltonian periodic flows Álvaro Pelayo, Silvia Sabatini Preprint Arxiv paper
A generalization of Szebehely's inverse problem of dynamics W. Sarlet, T. Mestdag, G. Prince Rep. Math. Phys, 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
The affine invariant of generalized semitoric systems Álvaro Pelayo, Tudor S. Ratiu, San Vũ Ngoc Preprint Arxiv paper
Relative Geodesics in the Special Euclidean Group Darryl D. Holm, Lyle Noakes, Joris Vankerschaver 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
Nijenhuis forms on $L_\infty$-algebras M. J. Azimi, C. Laurent-Gengoux, J. M. Nunes da Costa Preprint Arxiv paper
A survey on cosymplectic geometry Beniamino Cappelletti Montano, Antonio De Nicola, Ivan Yudin Arxiv paper
Simultaneous deformations of algebras and morphisms via derived brackets Yael Fregier, Marco Zambon ArXiv preprint paper
The inhomogeneous Suslov problem Luis C. García-Naranjo, Andrzej J. Maciejewski, Juan C. Marrero, Maria Przybylska Preprint Arxiv paper
Dirac--Lie systems and Schwarzian equations J.F. Cariñena, J. Grabowski, J. de Lucas, C. Sardón Arxiv paper
On a Poincaré lemma for singular foliations and geometric quantization Eva Miranda, Romero Solha Foliations 2012 Proceedings 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
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
Circle actions and geometric quantization Romero Solha ArXiv preprint paper
Year: 2010
Paper Authors Journal Pagessort descending Volume URL
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
Year: 2011
Paper Authors Journal Pagessort descending Volume URL
Smoothness of holonomy covers for singular foliations and essentia isotropy I. Androulidakis, M. Zambon Preprint-arXiv paper
Superposition rules for higher-order systems and their applications. J. F. Cariñena, J. Grabowski, J. de Lucas Preprint-arXiv paper
Reduction of a Symplectic Lie Algebroid with Momentum Map and its Application to Fiberwise Linear Poisson Structures J. C. Marrero, E. Padron, M. Rodriguez-Olmos Preprint-arXiv 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
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
The homogeneous geometries of real hyperbolic space. The homogeneous geometries of real hyperbolic space. Preprint-arXiv paper
Reduction of Lie-Jordan Banach algebras and quantum states F. Falceto, L. Ferro, A. Ibort, G. Marmo: Preprint-arXiv paper
Unified formalism for higher-order non-autonomous dynamical systems. P. D. Prieto Martínez, N. Román Roy Preprint-arXiv paper
HAMILTON-JACOBI THEORY FOR DEGENERATE LAGRANGIAN SYSTEMS WITH HOLONOMIC AND NONHOLONOMIC CONSTRAINTS MELVIN LEOK, TOMOKI OHSAWA, AND DIANA SOSA Preprint paper
Storage Size Determination for Grid-Connected Photovoltaic Systems Yu Ru, Jan Kleissl, Sonia Martinez Preprint paper
Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfeld, M. Jotz Indiana University Mathematics Journal 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
Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds Cédric M. Campos, Elisa Guzmán, Juan Carlos Marrero Preprint 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
Induced Dirac structure on isotropy type manifolds M. Jotz, T. Ratiu Transformation groups 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
A new Lie system approach to second-order Riccati equations J.F. Cariñena, J. de Lucas, C. Sardon Preprint-arXiv paper

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