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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 Authorssort descending Journal Pages Volume URL
The Ehrenfest picture and the geometry of Quantum Mechanics J. Clemente-Gallardo, G. Marmo Arxiv paper
Dirac--Lie systems and Schwarzian equations J.F. Cariñena, J. Grabowski, 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
Convex bodies of states and maps Janusz Grabowski, Alberto Ibort, Marek Kus, Giuseppe Marmo Arxiv paper
Canonoid transformations and master symmetries José F. Cariñena, Fernando Falceto, Manuel F. Rañada ArXiv preprint paper
The local description of discrete Mechanics Juan Carlos Marrero, David Martín de Diego, Eduardo Martínez ArXiv preprint paper
Reduction of polysymplectic manifolds Juan Carlos Marrero, Narciso Román-Roy, Modesto Salgado, Silvia Vilariño Preprint 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
Geometric Hamilton-Jacobi theory for higher-order autonomous systems Leonardo Colombo, Manuel de León, Pedro Daniel Prieto-Martínez, Narciso Román-Roy Preprint Arxiv paper
Unified formalism for higher-order variational problems and its applications in optimal control Leonardo Colombo, Pedro D. Prieto-Martínez Arxiv paper
Lagrangian mechanics on centered semi-direct product Leonardo J. Colombo, Henry O. Jacobs ArXiv preprint paper
The inhomogeneous Suslov problem Luis C. García-Naranjo, Andrzej J. Maciejewski, Juan C. Marrero, Maria Przybylska Preprint 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
Stability of Hamiltonian relative equilibria in symmetric magnetically confined rigid bodies Lyudmila Grigoryeva, Juan-Pablo Ortega, Stanislav Zub Preprint Arxiv paper
A class of Finsler surfaces whose geodesics are circles M. Crampin, T. Mestdag Arxiv paper
Hilbert forms for a Finsler metrizable projective class of sprays M. Crampin, T. Mestdag, D. J. Saunders ArXiv preprint paper
Hamilton-Jacobi theory in k-cosymplectic field theories M. de León, S. Vilariño Arxiv paper
Nijenhuis forms on $L_\infty$-algebras M. J. Azimi, C. Laurent-Gengoux, J. M. Nunes da Costa Preprint Arxiv paper
Year: 2010
Paper Authorssort descending Journal Pages Volume URL
Coverage optimization and spatial load balancing by robotic sensor networks J. Cortés IEEE Transactions on Automatic Control 749-754 55 (3) 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
Systems approaches and algorithms for discovery of combinatorial therapeutics J. Feala, J. Cortés, P. Duxbury, C. Piermarocchi, A. McCulloch, G. Paternostro Wiley Interdisciplinary Reviews: Systems Biology 181-193 2 (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
Consumption and Portfolio Rules for Time-Inconsistent Investors J. Marín-Solano, J. Navas European Journal of Operational Research 860-872 201(3) 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
Lie systems: theory, generalisations, and applications J.F. Cariñena, J. de Lucas Dissertationes Mathematicae paper
Lie systems and integrability conditions for t-dependent frequency harmonic oscillators J.F. Cariñena, J. de Lucas, M.F. Rañada Int. J. Geom. Methods Mod. Phys 289-310 7(2) paper
A geometric approach to integrability of Abel equations J.F. Cariñena, J. de Lucas, M.F. Rañada Int. J. Theor. Phys. paper
Lie systems and integrability conditions for t-dependent frequency harmonics oscillators J.F. Cariñena, J. de Lucas, M.F. Rañada , Int. J. Geom. Methods Mod. Phys. 289-310 7 paper
Lie families: theory and applications J.F. Cariñena, J. Grabowski, J. de Lucas J. Phys. A 305201 43 paper
Star-product in the presence of a monopole J.F. Carinena, J.M. Gracia-Bondia, F. Lizzi, G. Marmo, P. Vitale Physics Letters A 3614-3618 35(2) paper
Lagrangians of a non-mechanical type for second order Riccati and Abel equation J.F. Cariñena, M.F. Rañada Mon. Acad. Cienc. Zaragoza 165–177 33 paper
Hamiltonian Mechanical Systems on Lie Algebroids, Unimodularity and Preservation Of Volumes JC Marrero Journal of Geometric Mechanics 243-263 2 paper
Quasivelocities and Optimal Control for underactuated Mechanical Systems L. Colombo, D. Martín de Diego AIP Conf. Proc. 133-140 1260 paper
Optimal control of underactuated mechanical systems: A geometric approach L. Colombo, D. Martin de Diego, M. Zuccalli Journal of Mathematical Physic 83519 51(8) paper
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
Linear almost poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic mechanics M de León, JC Marrero, D Martín de Diego Journal of Geometrics mechanics 159 -198 2 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
High-order sufficient conditions for configuration tracking of affine connection control systems M. Barbero Liñán, M. Sigalotti System Control Lett. 491-503 59(8) paper
Strict abnormal extremals in nonholonomic and kinematic control systems M. Barbero Liñán, M.C. Muñoz Lecanda Discrete Contin. Dyn. Syst. Ser. S ene-17 3(1) paper
Routh reduction for singular Lagrangians M. Castrillón López, B. Langerock Int. J. Geom. Methods in Modern Physics 1451-1489 7(8) 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
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
Total Curvature of Curves in Riemannian Manifolds M. Castrillón López, V. Fernández, J. Muñoz Masqué Diff. Geom. Appl 140-147 28 paper
Geometric quantization of integrable systems with hyperbolic singularities M. Hamilton, E. Miranda Annales de l´Institut Fourier 51-85 60 paper
Singular reduction of Dirac structures M. Jotz, T. Ratiu, J. Sniatycki Transactions of the American Mathematical Society 2967-3013 363 paper
Higher Lie algebra actions on Lie algebroids M. Zambon- Chenchang Zhu Preprint 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
Year: 2009
Paper Authorssort descending Journal Pages Volume URL
Global and robust formation-shape stabilization of relative sensing networks J. Cortés Automatica 2754-2762 45 (12)
Year: 2012
Paper Authorssort descending Journal Pages Volume URL
On Lie systems and Kummer-Schwarz equations J. de Lucas, C. Sardón 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
Lie--Hamilton systems: theory and applications J.F. Cariñena, J. de Lucas, C. Sardón ArXiv preprint paper
Lie systems: theory, generalisations and applications. J.F. Cariñena, J. de Lucas: preprint-arxiv paper
Mixed superposition rules and the Riccati hierarchy Janusz Grabowski and Javier de Lucas 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
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
A geometric approach to a generalized virial theorem José F. Cariñena, Fernando Falceto, Manuel F. Rañada J. Phys. A: Math. Theor. 45 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 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
Optimal Control and higher-order mechanics for systems with symmetries Leonardo Colombo, Fernando Jimenez, David Martin de Diego ArXiv preprint paper
Symmetries, Newtonoids vector fields and conservation laws on the Lagrangian $k$-symplectic formalism Lucía Bua, Ioan Bucataru, Modesto Salgado preprint-arxiv paper
Nonholonomic LL systems on central extensions and the hydrodynamic Chaplygin sleigh with circulation Luis C. García-Naranjo, Joris Vankerschaver ArXiv preprint paper
Second order conditions for optimality and local controllability of discrete-time systems M. Barbero-Liñán, B. Jakubczyk ArXiv preprint 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
Lagrangian submanifolds and Hamilton-Jacobi equation M. Barbero-Liñán, M. de León, D. Martín de Diego ArXiv preprint 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
Lagrangian submanifolds in k-symplectic settings. M. de León, S. Vilariño: Preprint-arXiv paper
A numerical algorithm for singular optimal LQ control systems M. Delgado-Tellez, A. Ibort preprint-arxiv paper
A Hamiltonian Algorithm for Singular Optimal LQ Control Systems M. Delgado-Tellez, A. Ibort preprint-arxiv paper
Optimal Control Realizations of Lagrangian Systems with Symmetry M. Delgado-Tellez, A. Ibort, T. Rodriguez de la Peña 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
Year: 2011
Paper Authorssort descending Journal Pages Volume URL
Superposition rules for higher-order systems and their applications. J. F. Cariñena, J. Grabowski, J. de Lucas Preprint-arXiv paper
Heterogeneous discounting in economic problems J. Marín-Solano, C. Patxot Optimal Control Applications and Methods paper
Harmonic almost contact structures via intrinsic torsion J.C. González-Dávila, F. Martín Cabrera Israel J. Math 145-187 181 paper
Quasi-Lie schemes and second-order Riccati equations J.F. Cariñena, J. de Lucas J. Geom. Mech paper
Superposition rules and second-order differential equations J.F. Cariñena, J. de Lucas Proceedings of the XIX FallWorkshop on Geometry and Physics paper
Integrability of Lie systems through Riccati equations J.F. Cariñena, J. de Lucas J. Nonl. Math. Phys. 17 paper
A new Lie system approach to second-order Riccati equations J.F. Cariñena, J. de Lucas, C. Sardon Preprint-arXiv 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
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
GARCH options via local risk minimization J.P. Ortega Quantitative Finance 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
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
On the geometry of higher-order variational problems on Lie groups L. Colombo-D.Martín de Diego Preprint 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
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
Kinematic reduction and the Hamilton-Jacobi equation. M. Barbero Liñan, J.C. Marrero, D. Martín de Diego, M. Muñoz Lecanda, Preprint-arXiv paper
Presymplectic high order maximum principle M. Barbero Liñán, M.C. Muñoz Lecanda Rev. R. Acad. Cien. Serie A. Mat paper
Reduction of Homogeneous Riemannian Structures M. Castrillon Lopez, I. Lujan 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
Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfeld, M. Jotz Indiana University Mathematics Journal paper
Induced Dirac structure on isotropy type manifolds M. Jotz, T. Ratiu Transformation groups 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
On the convergence time of asynchronous distributed quantized averaging algorithms M. Zhu, S. Martínez IEEE Transactions on Automatic Control 386-390 56(2) paper
Year: 2008
Paper Authorssort descending Journal Pages 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
Nonholonomic constraints in k-symplectic classical field theories. M. de León, D. Martín de Diego, M. Salgado, S. Vilariño. I.J. Geom. Methods Mod. Phys 799-830. 5 paper
Year: 2005
Paper Authorssort descending Journal Pages Volume URL
Nonstandard connections in k-cosymplectic field theory. M. Muñoz-Lecanda, M. Salgado, S. Vilariño. J. Math. Phys 46 paper

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