Latest Papers

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
Holonomy transformations for singular foliations Iakovos Androulidakis, Marco Zambon preprint-arxiv paper
Reduction of symplectic principal $\mathbb{R}$-bundles Ignazio Lacirasella, Juan Carlos Marrero, Edith Padrón Preprint-arXiv paper
The Geometry of Integrable and Superintegrable Systems A. Ibort and G. Marmo Preprint-arXiv paper
Optimal Control Realizations of Lagrangian Systems with Symmetry M. Delgado-Tellez, A. Ibort, T. Rodriguez de la Peña preprint-arxiv paper
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers Jaume Llibre, Daniel Peralta-Salas preprint-arxiv paper
Lie--Hamilton systems: theory and applications J.F. Cariñena, J. de Lucas, C. Sardón ArXiv preprint paper
On Lie systems and Kummer-Schwarz equations J. de Lucas, C. Sardón ArXiv preprint paper
Discrete Variational Optimal Control Fernando Jimenez, Marin Kobilarov, David Martin de Diego Preprint-arXiv paper
Quantum Control and Representation Theory A. Ibort, J.M. Pérez-Pardo preprint-arxiv paper
Symplectic and Poisson geometry on b-manifolds Victor Guillemin, Eva Miranda, Ana Rita Pires 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
Distributions and quotients on degree 1 NQ-manifolds and Lie algebroids Marco Zambon, Chenchang Zhu Preprint-arXiv paper
Causality and the conformal boundary of AdS in real-time holography Alberto Enciso, Niky Kamran preprint-arxiv paper
Time-ordering and a generalized Magnus expansion Michel Bauer, Raphael Chetrite, Kurusch Ebrahimi-Fard, Frederic Patras preprint-arxiv paper
On Single-Input Controllable Linear Systems Under Periodic DoS Jamming Attacks Hamed Shisheh Foroush, Sonia Martínez 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
Quantum algebras as quantizations of dual Poisson-Lie groups Angel Ballesteros, Fabio Musso ArXiv preprint paper
Routh reduction and the class of magnetic Lagrangian systems B. Langerock, E. García-Toraño Andrés, F. Cantrijn preprint-arxiv paper
Submanifolds that are level sets of solutions to a second-order elliptic PDE Alberto Enciso, Daniel Peralta-Salas ArXiv preprint 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
Thermodynamics of spin chains of Haldane-Shastry type and one-dimensional vertex models. A. Enciso, F. Finkel, A. Gonzalez-Lopez: preprint-arxiv paper
Moduli spaces of toric manifolds Álvaro Pelayo, Ana Rita Pires, Tudor S. Ratiu, Silvia Sabatini ArXiv preprint paper
Nonholonomic LL systems on central extensions and the hydrodynamic Chaplygin sleigh with circulation Luis C. García-Naranjo, Joris Vankerschaver ArXiv preprint paper
Three natural mechanical systems on Stiefel varieties Y. N. Fedorov, B. Jovanovic Preprint-arXiv paper
Lie systems: theory, generalisations and applications. J.F. Cariñena, J. de Lucas: 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
Log-concavity and symplectic flows Yi Lin, Álvaro Pelayo ArXiv preprint paper
Existence of knotted vortex tubes in steady Euler flows Alberto Enciso, Daniel Peralta-Salas ArXiv preprint paper
L-infinity algebra actions R. Mehta, M. Zambon Preprint-arXiv paper
Continuous-time distributed convex optimization on directed graphs. B. Gharesifard, J. Cortes: preprint-arxiv paper
Strongly degenerate homogeneous pseudo-Kähler structures of linear type and complex plane waves M. Castrillón López, I. Luján ArXiv preprint paper
Deformations of coisotropic submanifolds for fibrewise entire Poisson structures Florian Schaetz, Marco Zambon ArXiv preprint paper
A new approach to the higher-order superintegrability of the Tremblay-Turbiner-Winternitz system Manuel F. Rañada J. Phys. A 45 paper
Distributed convergence to Nash equilibria by adversarial networks. B. Gharesifard, J. Cortes: preprint-arxiv paper
The Equivalence Problem of Curves in a Riemannian Manifold M. Castrillon Lopez, V. Fernandez Mateos, J. Munoz Masque ArXiv preprint paper
Nijenhuis and Compatible Tensors on Lie and Courant algebroids Paulo Antunes, Joana M. Nunes da Costa ArXiv preprint paper
Presymplectic high order maximum principle M. Barbero-Liñán, M. C. Muñoz-Lecanda ArXiv preprint paper
A Hamiltonian Algorithm for Singular Optimal LQ Control Systems M. Delgado-Tellez, A. Ibort 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
$k$-symplectic Pontryagin's Maximum Principle for some families of PDEs M. Barbero-Liñán, M. C. Muñoz-Lecanda ArXiv preprint paper
Year: 2013
Paper Authors Journal Pagessort descending Volume URL
Geometric Quantization of real polarizations via sheaves Eva Miranda, Francisco Presas ArXiv preprint paper
A survey on cosymplectic geometry Beniamino Cappelletti Montano, Antonio De Nicola, Ivan Yudin Arxiv paper
Voevodsky's Univalence Axiom in homotopy type theory Steve Awodey, Álvaro Pelayo, Michael A. Warren Notices of the American Mathematical Society paper
Cartan algorithm and Dirac constraints for Griffiths variational problems Hernán Cendra, Santiago Capriotti Preprint Arxiv paper
Dirac--Lie systems and Schwarzian equations J.F. Cariñena, J. Grabowski, J. de Lucas, C. Sardón Arxiv paper
Symplectic spectral geometry of semiclassical operators Álvaro Pelayo Bulletin of the Belgian Mathematical Society 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
Miura Reciprocal transformation for two integrable hierarchies in 1+1 dimensions P. G. Estevez, C. Sardon 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
A quasi--Lie schemes approach to second-order Gambier equations J.F. Cariñena, P. Guha, J. de Lucas ArXiv preprint paper
Toric actions on b-symplectic manifolds Victor Guillemin, Eva Miranda, Ana Rita Pires, Geoffrey Scott Preprint Arxiv paper
Sharp symplectic embeddings of cylinders Álvaro Pelayo, San Vũ Ngoc Arxiv paper
Drinfel'd doubles for (2+1)-gravity Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger 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
The Jacobiator of nonholonomic systems and the geometry of reduced nonholonomic brackets P. Balseiro ArXiv preprint paper
The generalized Euler-Poinsot rigid body equations: explicit elliptic solutions Yuri N. Fedorov, Andrzej J. Maciejewski, Maria Przybylska Arxiv paper
Lagrangian mechanics on centered semi-direct product Leonardo J. Colombo, Henry O. Jacobs 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
Canonoid transformations and master symmetries José F. Cariñena, Fernando Falceto, Manuel F. Rañada ArXiv preprint paper
Coupling symmetries with Poisson structures Camille Laurent-Gengoux, Eva Miranda ArXiv preprint paper
The affine invariant of generalized semitoric systems Álvaro Pelayo, Tudor S. Ratiu, San Vũ Ngoc Preprint Arxiv paper
Gradient dynamical systems on open surfaces and critical points of Green's functions Alberto Enciso, Daniel Peralta-Salas 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
Poincaré-Birkhoff theorems in random dynamics Álvaro Pelayo, Fraydoun Rezakhanlou Preprint paper
Nijenhuis forms on $L_\infty$-algebras M. J. Azimi, C. Laurent-Gengoux, J. M. Nunes da Costa Preprint Arxiv paper
Unimodularity and preservation of volumes in nonholonomic mechanics Yuri N. Fedorov, Luis C. García-Naranjo, Juan C. Marrero 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
Simultaneous deformations of algebras and morphisms via derived brackets Yael Fregier, Marco Zambon ArXiv preprint paper
Reduction of polysymplectic manifolds Juan Carlos Marrero, Narciso Román-Roy, Modesto Salgado, Silvia Vilariño Preprint paper
The inhomogeneous Suslov problem Luis C. García-Naranjo, Andrzej J. Maciejewski, Juan C. Marrero, Maria Przybylska Preprint Arxiv paper
A class of Finsler surfaces whose geodesics are circles M. Crampin, T. Mestdag Arxiv paper
Homotopy moment maps Yael Fregier, Christopher L. Rogers, Marco Zambon Arxiv paper
On a Poincaré lemma for singular foliations and geometric quantization Eva Miranda, Romero Solha Foliations 2012 Proceedings paper
Higher-order discrete variational problems with constraints Leonardo Colombo, David Martín de Diego, Marcela Zuccalli Submit to J. Math Phy 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
The anisotropic Higgs oscillator on the two-dimensional sphere and the hyperbolic plane Angel Ballesteros, Francisco J. Herranz, Fabio Musso ArXiv preprint paper
Hamilton-Jacobi theory in k-cosymplectic field theories M. de León, S. Vilariño Arxiv paper
Circle actions and geometric quantization Romero Solha ArXiv preprint paper
The Ehrenfest picture and the geometry of Quantum Mechanics J. Clemente-Gallardo, G. Marmo Arxiv paper
Year: 2011
Paper Authors Journal Pagessort descending Volume URL
Storage Size Determination for Grid-Connected Photovoltaic Systems Yu Ru, Jan Kleissl, Sonia Martinez 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
Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds Cédric M. Campos, Elisa Guzmán, Juan Carlos Marrero Preprint 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
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
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
Smoothness of holonomy covers for singular foliations and essentia isotropy I. Androulidakis, M. Zambon 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
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: 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
Higher Lie algebra actions on Lie algebroids M. Zambon- Chenchang Zhu Preprint 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
A new exactly solvable quantum model in N dimensions Angel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni Physics Letters A paper