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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
Homotopy moment maps Yael Fregier, Christopher L. Rogers, Marco Zambon Arxiv paper
Higher-order discrete variational problems with constraints Leonardo Colombo, David Martín de Diego, Marcela Zuccalli Submit to J. Math Phy 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
Tensorial description of quantum mechanics J. Clemente-Gallardo, G. Marmo ArXiv preprint paper
Hamilton-Jacobi theory in k-cosymplectic field theories M. de León, S. Vilariño Arxiv paper
The Ehrenfest picture and the geometry of Quantum Mechanics J. Clemente-Gallardo, G. Marmo Arxiv 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
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
Tying knots in light fields Hridesh Kedia, Iwo Bialynicki-Birula, Daniel Peralta-Salas, William T.M. Irvine ArXiv preprint paper
Hyperstructures on Lie algebroids P. Antunes, J. M. Nunes da Costa Arxiv paper
Hard Lefschetz theorem for Sasakian manifolds Beniamino Cappelletti Montano, Antonio De Nicola, Ivan Yudin Preprint paper
Distributed convergence to Nash equilibria in two-network zero-sum games Bahman Gharesifard, Jorge Cortes 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 quantization and spectral limits of h-pseudodifferential and Berezin-Toeplitz operators Álvaro Pelayo, Leonid Polterovich, San Vũ Ngoc ArXiv preprint paper
A preliminary univalent formalization of the p-adic numbers Álvaro Pelayo, Vladimir Voevodsky, Michael A. Warren ArXiv preprint 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
Distributed continuous-time convex optimization on weight-balanced digraphs Bahman Gharesifard, Jorge Cortes ArXiv preprint 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
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
Non-existence of an invariant measure for a homogeneous ellipsoid rolling on the plane Luis C. García-Naranjo, Juan C. Marrero Preprint paper
Hilbert forms for a Finsler metrizable projective class of sprays M. Crampin, T. Mestdag, D. J. Saunders ArXiv preprint paper
Voevodsky's Univalence Axiom in homotopy type theory Steve Awodey, Álvaro Pelayo, Michael A. Warren Notices of the American Mathematical Society paper
A generalization of Szebehely's inverse problem of dynamics W. Sarlet, T. Mestdag, G. Prince Rep. Math. Phys, paper
Geometric Quantization of real polarizations via sheaves Eva Miranda, Francisco Presas ArXiv preprint 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
Cartan algorithm and Dirac constraints for Griffiths variational problems Hernán Cendra, Santiago Capriotti 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
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
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
Dirac--Lie systems and Schwarzian equations J.F. Cariñena, J. Grabowski, 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
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
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
Year: 2012
Paper Authors Journal Pagessort descending Volume URL
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
Mixed superposition rules and the Riccati hierarchy Janusz Grabowski and Javier de Lucas Preprint-arXiv paper
Second order conditions for optimality and local controllability of discrete-time systems M. Barbero-Liñán, B. Jakubczyk ArXiv preprint paper
A numerical algorithm for singular optimal LQ control systems M. Delgado-Tellez, A. Ibort preprint-arxiv paper
Holonomy transformations for singular foliations Iakovos Androulidakis, Marco Zambon preprint-arxiv paper
Hamiltonian dynamics and symplectic capacities Alvaro Pelayo, San Vu Ngoc ArXiv preprint 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
Optimal Control and higher-order mechanics for systems with symmetries Leonardo Colombo, Fernando Jimenez, David Martin de Diego 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
Time-ordering and a generalized Magnus expansion Michel Bauer, Raphael Chetrite, Kurusch Ebrahimi-Fard, Frederic Patras 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
A Universal Hamilton-Jacobi Theory Manuel de León, David Martín de Diego, Miguel Vaquero ArXiv preprint paper
Causality and the conformal boundary of AdS in real-time holography Alberto Enciso, Niky Kamran preprint-arxiv paper
Variational principles for higher-order dynamical systems N.Roman Roy- P.D Prieto Martínez Preprint-arXiv paper
Morse families in optimal control problems María Barbero-Liñán, David Iglesias Ponte, David Martín de Diego ArXiv preprint paper
Routh reduction and the class of magnetic Lagrangian systems B. Langerock, E. García-Toraño Andrés, F. Cantrijn preprint-arxiv paper
Moduli spaces of toric manifolds Álvaro Pelayo, Ana Rita Pires, Tudor S. Ratiu, Silvia Sabatini ArXiv preprint paper
Reduction of symplectic principal $\mathbb{R}$-bundles Ignazio Lacirasella, Juan Carlos Marrero, Edith Padrón Preprint-arXiv paper
Poly-Poisson structures D. Iglesias-Ponte, J.C. Marrero, M. Vaquero 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
Log-concavity and symplectic flows Yi Lin, Álvaro Pelayo ArXiv preprint paper
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
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
Lie--Hamilton systems: theory and applications J.F. Cariñena, J. de Lucas, C. Sardón ArXiv preprint 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
A geometric approach to a generalized virial theorem José F. Cariñena, Fernando Falceto, Manuel F. Rañada J. Phys. A: Math. Theor. 45 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
On Single-Input Controllable Linear Systems Under Periodic DoS Jamming Attacks Hamed Shisheh Foroush, Sonia Martínez ArXiv preprint 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
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
Foliated groupoids and their infinitesimal data Madeleine Jotz, Cristian Ortiz Preprint paper
The homogeneous geometries of real hyperbolic space. The homogeneous geometries of real hyperbolic space. Preprint-arXiv paper
Unified formalism for higher-order non-autonomous dynamical systems. P. D. Prieto Martínez, N. Román Roy Preprint-arXiv 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
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
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
Three-dimensional gravity and Drinfel'd doubles: spacetimes and symmetries from quantum deformations Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger Physics Letters B paper

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