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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 Pages Volume URL
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
Rigidity of Hamiltonian actions on Poisson manifolds Eva Miranda,Philippe Monnier and Nguyen Tien Zungb Advances in Mathematics 1136–1179 229 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
Geometrical description of algebraic structures: Applications to Quantum Mechanics José F. Cariñena, Alberto Ibort, Giuseppe Marmo, Giuseppe Morandi AIP Conference Proceedings Series 47--59 1130 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
Year: 2011
Paper Authors Journal Pages Volume URL
Gauge Transformations, Twisted Poisson Brackets and Hamiltonization of Nonholonomic Systems P. Balseiro, L. Garcia Naranjo Preprint-arXiv paper
Classical Lie symmetries and reductions of a nonisospectral Lax pair P. G. Estevez, M.L. Gandarias, J. de Lucas J. of Nonl. Math. Phys. paper
Codimension one symplectic foliations and regular Poisson manifolds V. Guillemin, E. Miranda, Ana Rita Pires Bulletin of the Brazilian mathematical society paper
Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems N.Roman Roy- P.D Prieto Martínez Journal of Phys A 385203 44 paper
Kinematic reduction and the Hamilton-Jacobi equation. M. Barbero Liñan, J.C. Marrero, D. Martín de Diego, M. Muñoz Lecanda, Preprint-arXiv paper
Integrability of Lie systems through Riccati equations J.F. Cariñena, J. de Lucas J. Nonl. Math. Phys. 17 paper
Action-angle coordinates for integrable systems on Poisson manifolds C. Laurent-Gengoux, E. Miranda, P. Vanhaecke IMRN 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
Nondegeneracy of the eigenvalues of the Hodge Laplacian for generic metrics on 3-manifolds A. Enciso, D. Peralta Trans. Amer. Math. Soc 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
Campos magnéticos caóticos creados por cables de corriente continua J. Aguirre, A. Luque, D. Peralta Revista Española de Física paper
Knots and links in steady solutions of the Euler equation A. Enciso, D. Peralta Ann. of Math paper
Symplectic theory of completely integrable Hamiltonian systems Álvaro Pelayo, San Vũ Ngoc Bull. Amer. Math. Soc 409-455 48 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
Covariantizing Classical Field Theories Castrillón López, M. Gotay J. Geom. Mech. paper
Reduction of Lie-Jordan Banach algebras and quantum states F. Falceto, L. Ferro, A. Ibort, G. Marmo: Preprint-arXiv paper
A Geometric Approach to discrete Mechanics for optimal control Theory F. Jiménez, D. Martín 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
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
Universal lifting theorem and quasi-Poisson groupoids D. Iglesias Ponte, C. Laurent-Gengoux, P. Xu Journal of the European Mathematical Society 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
Superposition rules for higher-order systems and their applications. J. F. Cariñena, J. Grabowski, J. de Lucas Preprint-arXiv paper
A construction for coisotropic subalgebras of Lie bialgebras M. Zambon Journal of Pure and Applied Algebra 411-419 215 paper
Generic linear systems for projective CR manifolds. D. Martínez Torres Differential Geometry and its Applications paper
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
Submanifolds in Poisson geometry: a survey M. Zambon Proceedings of the conference CDG2009 (Hannover, 2009 paper
Presymplectic high order maximum principle M. Barbero Liñán, M.C. Muñoz Lecanda Rev. R. Acad. Cien. Serie A. Mat paper
A note on strict C-convexity. D. Martínez Torres Rev. Mat. Complutense 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
GARCH options via local risk minimization J.P. Ortega Quantitative Finance paper
Heterogeneous discounting in economic problems J. Marín-Solano, C. Patxot Optimal Control Applications and Methods paper
Glanon groupoids Madeleine Jotz, Mathieu Stiénon, Ping Xu Preprint paper
A geometric approach to integrability of Abel differential equations J.F. Cariñena, Javier de Lucas, M.F. Rañada Int. J. Theoretical Physics IJTP4137 paper
Characterization of accessibility for affine connection control systems at some points with nonzero velocity Maria Barbero Liñán Preprint paper
The harmonic oscillator on three-dimensional spherical and hyperbolic spaces: Curvature dependent formalism and quantization J.F. Cariñena, M.F. Rañada, M. Santander Int. J.Theoretical Physics IJTP4102 paper
Reduction of Poisson-Nijenhuis Lie algebroids to symplectic-Nijenhuis Lie algebroids with nondegenerate Nijenhuis tensor Antonio De Nicola, Juan Carlos Marrero, Edith Padron Journal of Physics A: Mathematical and Theoretical doi:10.1088/1751-8113/44/42/425206 44 paper
Harmonic almost contact structures via intrinsic torsion J.C. González-Dávila, F. Martín Cabrera Israel J. Math 145-187 181 paper
On a Kind Noether Symmetries and Conservation Laws in K-Cosymplectic Field Theory JC Marrero, N Roman-Roy, M Salgado, S Vilariño J Math Phys 22901 52 paper
SOPDES and non-linear connections N. Román-Roy, M. Salgado, S. Vilariño Publicationes Mathematicae Debrecen 78 paper
On the k-symplectic, k-cosymplectic and multisimplectic formalisms of classical field theories. A. M. Rey, N. Román-Roy, M. Salgado, S. Vilariño JGM 112-137 vol 3 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
On the convergence time of asynchronous distributed quantized averaging algorithms M. Zhu, S. Martínez IEEE Transactions on Automatic Control 386-390 56(2) paper
A new Lie system approach to second-order Riccati equations J.F. Cariñena, J. de Lucas, C. Sardon Preprint-arXiv paper
Quasi-Lie schemes and second-order Riccati equations J.F. Cariñena, J. de Lucas J. Geom. Mech paper
A distributed Deterministic Annealing algorithm for optimal sensor coverage A. Kwok, S. Martínez IEEE Transactions on Control Systems Technology paper
Dirac structures, nonholonomic systems and reduction Madeleine Jotz, Tudor Ratiu Preprint-arXiv paper
Superposition rules and second-order differential equations J.F. Cariñena, J. de Lucas Proceedings of the XIX FallWorkshop on Geometry and Physics paper
From action-angle coordinates to geometric quantization: a round trip Eva Miranda Oberwolfach report, Geometric quantization in the non-compact setting paper
Year: 2010
Paper Authors Journal Pages Volume URL
A Unified Framework for Mechanics. Hamilton-Jacobi Equation and Applications P Balseiro, JC Marrero, D Martín de Diego, E Padrón Nonlinearity 1887- 1918 23 paper
The canonical eight form on manifolds with holonomy group Spin(9) M. Castrillón López, P.M. Gadea, I. Mykytyuk Int. J. Geom. Methods in Modern Physics 1159-1183. 7(7) paper
Geometric quantization of integrable systems with hyperbolic singularities M. Hamilton, E. Miranda Annales de l´Institut Fourier 51-85 60 paper
Hamilton-Jacobi theory in K-Symplectic field theories M de León, JC Marrero, D Martín de Diego, M Salgado, S Vilariño Int J. Geom. Meth. Mod. Phys 1491 -1507 7 paper
Routh reduction for singular Lagrangians M. Castrillón López, B. Langerock Int. J. Geom. Methods in Modern Physics 1451-1489 7(8) paper
Variational constrained mechanics on Lie affgebroids J. C. Marrero, D. Martín de Diego, D. Sosa Discrete and Continuous Dynamical Systems - Series S 105 - 128 1(3) 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
A geometric approach to the Gibbs-Appell equations in Lagrangian mechanics J. F. Cariñena and J. Fernández-Núñez J. Math. Phys. A: Math. Theor. 505205 43 paper

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