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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
Symmetries, Newtonoids vector fields and conservation laws on the Lagrangian $k$-symplectic formalism Lucía Bua, Ioan Bucataru, Modesto Salgado preprint-arxiv paper
Strongly degenerate homogeneous pseudo-Kähler structures of linear type and complex plane waves M. Castrillón López, I. Luján ArXiv preprint 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
Non-coboundary Poisson-Lie structures on the book group 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
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
Lagrangian submanifolds in k-symplectic settings. M. de León, S. Vilariño: Preprint-arXiv paper
$k$-symplectic Pontryagin's Maximum Principle for some families of PDEs M. Barbero-Liñán, M. C. Muñoz-Lecanda ArXiv preprint paper
Classification of real three-dimensional Poisson-Lie groups Angel Ballesteros, Alfonso Blasco, Fabio Musso J. Phys. A: Math and Theor 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 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
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers Jaume Llibre, Daniel Peralta-Salas 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
Symplectic and Poisson geometry on b-manifolds Victor Guillemin, Eva Miranda, Ana Rita Pires 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
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
Year: 2011
Paper Authors Journal Pages Volume URL
Storage Size Determination for Grid-Connected Photovoltaic Systems Yu Ru, Jan Kleissl, Sonia Martinez Preprint 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
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
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
Campos magnéticos caóticos creados por cables de corriente continua J. Aguirre, A. Luque, D. Peralta Revista Española de Física 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
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
Submanifolds in Poisson geometry: a survey M. Zambon Proceedings of the conference CDG2009 (Hannover, 2009 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
The homogeneous geometries of real hyperbolic space. The homogeneous geometries of real hyperbolic space. Preprint-arXiv 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
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
Harmonic almost contact structures via intrinsic torsion J.C. González-Dávila, F. Martín Cabrera Israel J. Math 145-187 181 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
Year: 2010
Paper Authors Journal Pages Volume URL
Reduction of almost Poisson brackets and Hamiltonization of the Chaplygin sphere L.C. García-Naranjo Disc. and Cont. Dyn. Syst. Series S 37–60 3 (1) paper
On distributed convex optimization under inequality and equality constraints via primal-dual subgradient methods M. Zhu, S. Martínez IEEE Transactions on Automatic Control paper
Buy and hold strategies and comonotonic approximations J. Marín-Solano, O. Roch, J. Dhaene, C. Ribas, M. Bosch-Príncep and S. Vanduffel Belgian Actuarial Bulletin 17-28 9 paper
Time-Dependent Mechanics and Lagrangian Submanifolds of Presymplectic and Poisson Manifolds E.L Guzman, JC Marrero J Phys a: Math Theoret 505201 43 paper
Singular reduction of Dirac structures M. Jotz, T. Ratiu, J. Sniatycki Transactions of the American Mathematical Society 2967-3013 363 paper
Unicycle coverage control via hybrid modeling A. Kwok, S. Martínez IEEE Transactions on Automatic Control 528-532 55(2) paper
Non-Constant Discounting in Differential Games with Random Duration J. Marín-Solano, E.V. Shevkoplyas Contributions to Game Theory and Management 267-279 3 paper
Curvature of almost quaternion-Hermitian Manifolds F. Martín Cabrera, A. Swann Forum Mathematicum 21-52 22 paper
Homogeneous structures on real and complex hyperbolic spaces M. Castrillón López, P.M. Gadea, A. Swann Illinois Journal of Mathematics 561-574 53 (2) paper

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