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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: 2013
Paper Authors Journal Pagessort descending Volume URL
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
Sharp symplectic embeddings of cylinders Álvaro Pelayo, San Vũ Ngoc Arxiv paper
Toric actions on b-symplectic manifolds Victor Guillemin, Eva Miranda, Ana Rita Pires, Geoffrey Scott 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
The generalized Euler-Poinsot rigid body equations: explicit elliptic solutions Yuri N. Fedorov, Andrzej J. Maciejewski, Maria Przybylska 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
An integer optimization problem for non-Hamiltonian periodic flows Álvaro Pelayo, Silvia Sabatini Preprint Arxiv paper
Simultaneous deformations of algebras and morphisms via derived brackets Yael Fregier, Marco Zambon 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
On a Poincaré lemma for singular foliations and geometric quantization Eva Miranda, Romero Solha Foliations 2012 Proceedings 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
Circle actions and geometric quantization Romero Solha 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
Reduction of polysymplectic manifolds Juan Carlos Marrero, Narciso Román-Roy, Modesto Salgado, Silvia Vilariño Preprint paper
On quantum deformations of (anti-)de Sitter algebras in (2+1) dimensions Angel Ballesteros, Francisco J. Herranz, Fabio Musso 3Quantum: Algebra, Geometry, Information paper
The inhomogeneous Suslov problem Luis C. García-Naranjo, Andrzej J. Maciejewski, Juan C. Marrero, Maria Przybylska Preprint Arxiv paper
Tensorial description of quantum mechanics J. Clemente-Gallardo, G. Marmo ArXiv preprint paper
A class of Finsler surfaces whose geodesics are circles M. Crampin, T. Mestdag Arxiv paper
Higher-order discrete variational problems with constraints Leonardo Colombo, David Martín de Diego, Marcela Zuccalli Submit to J. Math Phy paper
Distributed convergence to Nash equilibria in two-network zero-sum games Bahman Gharesifard, Jorge Cortes ArXiv preprint 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
Tying knots in light fields Hridesh Kedia, Iwo Bialynicki-Birula, Daniel Peralta-Salas, William T.M. Irvine ArXiv preprint paper
Homotopy moment maps Yael Fregier, Christopher L. Rogers, Marco Zambon Arxiv paper
The Ehrenfest picture and the geometry of Quantum Mechanics J. Clemente-Gallardo, G. Marmo Arxiv paper
Distributed continuous-time convex optimization on weight-balanced digraphs Bahman Gharesifard, Jorge Cortes ArXiv preprint 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
Semiclassical quantization and spectral limits of h-pseudodifferential and Berezin-Toeplitz operators Álvaro Pelayo, Leonid Polterovich, San Vũ Ngoc ArXiv preprint 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
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
A preliminary univalent formalization of the p-adic numbers Álvaro Pelayo, Vladimir Voevodsky, Michael A. Warren ArXiv preprint paper
Hyperstructures on Lie algebroids P. Antunes, J. M. Nunes da Costa 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
Convex bodies of states and maps Janusz Grabowski, Alberto Ibort, Marek Kus, Giuseppe Marmo Arxiv paper
Hilbert forms for a Finsler metrizable projective class of sprays M. Crampin, T. Mestdag, D. J. Saunders ArXiv preprint paper
Stability of Hamiltonian relative equilibria in symmetric magnetically confined rigid bodies Lyudmila Grigoryeva, Juan-Pablo Ortega, Stanislav Zub Preprint Arxiv paper
Semiclassical inverse spectral theory for singularities of focus-focus type Álvaro Pelayo, San Vũ Ngoc ArXiv preprint paper
Unified formalism for higher-order variational problems and its applications in optimal control Leonardo Colombo, Pedro D. Prieto-Martínez Arxiv paper
Year: 2011
Paper Authors Journal Pagessort descending Volume URL
On the geometry of higher-order variational problems on Lie groups L. Colombo-D.Martín de Diego Preprint paper
Superposition rules for higher-order systems and their applications. J. F. Cariñena, J. Grabowski, J. de Lucas Preprint-arXiv paper
Reduction of Lie-Jordan Banach algebras and quantum states F. Falceto, L. Ferro, A. Ibort, G. Marmo: Preprint-arXiv paper
Foliated groupoids and their infinitesimal data Madeleine Jotz, Cristian Ortiz Preprint 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
Glanon groupoids Madeleine Jotz, Mathieu Stiénon, Ping Xu Preprint paper
The homogeneous geometries of real hyperbolic space. The homogeneous geometries of real hyperbolic space. Preprint-arXiv paper
Characterization of accessibility for affine connection control systems at some points with nonzero velocity Maria Barbero Liñán Preprint paper
Unified formalism for higher-order non-autonomous dynamical systems. P. D. Prieto Martínez, N. Román Roy Preprint-arXiv 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
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
Year: 2012
Paper Authors Journal Pagessort descending Volume URL
Symmetries, Newtonoids vector fields and conservation laws on the Lagrangian $k$-symplectic formalism Lucía Bua, Ioan Bucataru, Modesto Salgado 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
Existence of knotted vortex tubes in steady Euler flows Alberto Enciso, Daniel Peralta-Salas 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
Classification of real three-dimensional Poisson-Lie groups 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
Strongly degenerate homogeneous pseudo-Kähler structures of linear type and complex plane waves M. Castrillón López, I. Luján ArXiv preprint paper
Lagrangian submanifolds in k-symplectic settings. M. de León, S. Vilariño: 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
A numerical algorithm for singular optimal LQ control systems M. Delgado-Tellez, A. 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
The Equivalence Problem of Curves in a Riemannian Manifold M. Castrillon Lopez, V. Fernandez Mateos, J. Munoz Masque ArXiv preprint paper
Mixed superposition rules and the Riccati hierarchy Janusz Grabowski and Javier de Lucas Preprint-arXiv paper
Presymplectic high order maximum principle M. Barbero-Liñán, M. C. Muñoz-Lecanda ArXiv preprint paper
$k$-symplectic Pontryagin's Maximum Principle for some families of PDEs M. Barbero-Liñán, M. C. Muñoz-Lecanda ArXiv preprint paper
Optimal Control Realizations of Lagrangian Systems with Symmetry M. Delgado-Tellez, A. Ibort, T. Rodriguez de la Peña preprint-arxiv paper
Holonomy transformations for singular foliations Iakovos Androulidakis, Marco Zambon 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
The Geometry of Integrable and Superintegrable Systems A. Ibort and G. Marmo Preprint-arXiv paper
Second order conditions for optimality and local controllability of discrete-time systems M. Barbero-Liñán, B. Jakubczyk ArXiv preprint paper
Quantum Control and Representation Theory A. Ibort, J.M. Pérez-Pardo 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
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
The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach II José F. Cariñena, Manuel F. Rañada, Mariano Santander J. Math. Phys 53 paper
Discrete Variational Optimal Control Fernando Jimenez, Marin Kobilarov, David Martin de Diego Preprint-arXiv paper
Causality and the conformal boundary of AdS in real-time holography Alberto Enciso, Niky Kamran preprint-arxiv paper
Symplectic and Poisson geometry on b-manifolds Victor Guillemin, Eva Miranda, Ana Rita Pires preprint-arxiv paper
Variational principles for higher-order dynamical systems N.Roman Roy- P.D Prieto Martínez Preprint-arXiv paper
Hamiltonian dynamics and symplectic capacities Alvaro Pelayo, San Vu Ngoc ArXiv preprint paper
Time-ordering and a generalized Magnus expansion Michel Bauer, Raphael Chetrite, Kurusch Ebrahimi-Fard, Frederic Patras preprint-arxiv paper
Reduction of symplectic principal $\mathbb{R}$-bundles Ignazio Lacirasella, Juan Carlos Marrero, Edith Padrón Preprint-arXiv paper
Optimal Control and higher-order mechanics for systems with symmetries Leonardo Colombo, Fernando Jimenez, David Martin de Diego ArXiv preprint paper
A Universal Hamilton-Jacobi Theory Manuel de León, David Martín de Diego, Miguel Vaquero ArXiv preprint paper
Routh reduction and the class of magnetic Lagrangian systems B. Langerock, E. García-Toraño Andrés, F. Cantrijn 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
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
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
Poly-Poisson structures D. Iglesias-Ponte, J.C. Marrero, M. Vaquero 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
Deformations of coisotropic submanifolds for fibrewise entire Poisson structures Florian Schaetz, Marco Zambon ArXiv preprint 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