Papers

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Year: 2012
Paper Authorssort ascending 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
Optimal Control and higher-order mechanics for systems with symmetries Leonardo Colombo, Fernando Jimenez, David Martin de Diego ArXiv preprint 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
A geometric approach to a generalized virial theorem José F. Cariñena, Fernando Falceto, Manuel F. Rañada J. Phys. A: Math. Theor. 45 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 Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers Jaume Llibre, Daniel Peralta-Salas preprint-arxiv paper
Mixed superposition rules and the Riccati hierarchy Janusz Grabowski and Javier de Lucas Preprint-arXiv paper
Lie systems: theory, generalisations and applications. J.F. Cariñena, J. de Lucas: preprint-arxiv paper
Lie--Hamilton systems: theory and applications J.F. Cariñena, 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
On Lie systems and Kummer-Schwarz equations J. de Lucas, C. Sardón ArXiv preprint paper
Reduction of symplectic principal $\mathbb{R}$-bundles Ignazio Lacirasella, Juan Carlos Marrero, Edith Padrón Preprint-arXiv paper
Holonomy transformations for singular foliations Iakovos Androulidakis, Marco Zambon 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
On Single-Input Controllable Linear Systems Under Periodic DoS Jamming Attacks Hamed Shisheh Foroush, Sonia Martínez ArXiv preprint paper
Deformations of coisotropic submanifolds for fibrewise entire Poisson structures Florian Schaetz, Marco Zambon ArXiv preprint paper
Discrete Variational Optimal Control Fernando Jimenez, Marin Kobilarov, David Martin de Diego 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
Poly-Poisson structures D. Iglesias-Ponte, J.C. Marrero, M. Vaquero ArXiv preprint paper
Higher order variational time discretization of optimal control problems C.M. Campos, O. Junge, S. Ober-Blöbaum preprint-arxiv paper
Year: 2013
Paper Authorssort ascending Journal Pages Volume URL
Lagrangian mechanics on centered semi-direct product Leonardo J. Colombo, Henry O. Jacobs ArXiv preprint paper
Unified formalism for higher-order variational problems and its applications in optimal control Leonardo Colombo, Pedro D. Prieto-Martínez Arxiv 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
Higher-order discrete variational problems with constraints Leonardo Colombo, David Martín de Diego, Marcela Zuccalli Submit to J. Math Phy paper
Reduction of polysymplectic manifolds Juan Carlos Marrero, Narciso Román-Roy, Modesto Salgado, Silvia Vilariño Preprint paper
The local description of discrete Mechanics Juan Carlos Marrero, David Martín de Diego, Eduardo Martínez ArXiv preprint paper
Canonoid transformations and master symmetries José F. Cariñena, Fernando Falceto, Manuel F. Rañada ArXiv preprint paper
Convex bodies of states and maps Janusz Grabowski, Alberto Ibort, Marek Kus, Giuseppe Marmo Arxiv paper
A quasi--Lie schemes approach to second-order Gambier equations J.F. Cariñena, P. Guha, J. de Lucas ArXiv preprint paper
Dirac--Lie systems and Schwarzian equations J.F. Cariñena, J. Grabowski, J. de Lucas, C. Sardón Arxiv paper
Tensorial description of quantum mechanics J. Clemente-Gallardo, G. Marmo ArXiv preprint paper
The Ehrenfest picture and the geometry of Quantum Mechanics J. Clemente-Gallardo, G. Marmo Arxiv paper
Tying knots in light fields Hridesh Kedia, Iwo Bialynicki-Birula, Daniel Peralta-Salas, William T.M. Irvine ArXiv preprint paper
Cartan algorithm and Dirac constraints for Griffiths variational problems Hernán Cendra, Santiago Capriotti Preprint Arxiv paper
Reduction of Lie--Jordan algebras: Quantum F. Falceto, L. Ferro, A. Ibort, G. Marmo Il Nuovo Cimento 107-115 C 36 03 paper
On a Poincaré lemma for singular foliations and geometric quantization Eva Miranda, Romero Solha Foliations 2012 Proceedings paper
Geometric Quantization of real polarizations via sheaves Eva Miranda, Francisco Presas ArXiv preprint paper
Relative Geodesics in the Special Euclidean Group Darryl D. Holm, Lyle Noakes, Joris Vankerschaver Arxiv paper
Coupling symmetries with Poisson structures Camille Laurent-Gengoux, Eva Miranda 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
Hard Lefschetz theorem for Sasakian manifolds Beniamino Cappelletti Montano, Antonio De Nicola, Ivan Yudin Preprint paper
A survey on cosymplectic geometry Beniamino Cappelletti Montano, Antonio De Nicola, Ivan Yudin Arxiv paper
Year: 2010
Paper Authorssort ascending 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
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
Quasivelocities and Optimal Control for underactuated Mechanical Systems L. Colombo, D. Martín de Diego AIP Conf. Proc. 133-140 1260 paper
Hamiltonian Mechanical Systems on Lie Algebroids, Unimodularity and Preservation Of Volumes JC Marrero Journal of Geometric Mechanics 243-263 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
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
Lie families: theory and applications J.F. Cariñena, J. Grabowski, J. de Lucas J. Phys. A 305201 43 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 systems: theory, generalisations, and applications J.F. Cariñena, J. de Lucas Dissertationes Mathematicae 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
Consumption and Portfolio Rules for Time-Inconsistent Investors J. Marín-Solano, J. Navas European Journal of Operational Research 860-872 201(3) 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
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
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
Coverage optimization and spatial load balancing by robotic sensor networks J. Cortés IEEE Transactions on Automatic Control 749-754 55 (3) 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
Motion of charged particles in magnetic fields created by symmetric configurations of wires J. Aguirre, A. Luque, D. Peralta Phys. D 654-675 239 paper
Reduction of Dirac structures along isotropic subbundles I. Calvo. F. Falceto, Reports on Mathematical Physics 259-269 65 (2) paper
Reduction and construction of Poisson quasi-Nijenhuis manifolds with background F. Cordeiro, J. M. Nunes da Costa Int. J. Geom. Meth. Modern Phys. 539-564 7 paper
A Lie systems approach for the first passage-time of piecewise deterministic processes F. Avram, J.F. Cariñena, J. de Lucas in the book: Modern Trends of Controlled Stochastic Processes: Theory and Applications 144-160 paper
Curvature of almost quaternion-Hermitian Manifolds F. Martín Cabrera, A. Swann Forum Mathematicum 21-52 22 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
A note on the separability of canonical integrations of Lie algebroids D. Martínez Torres Math. Res. Lett 69-75 17(1) paper
Reduced classical field theories: k-cosymplectic formalism on Lie algebroids D. Martín de Diego, S. Vilariño Journal of Physics A: Mathematical and Theoretical 325204 43(32) paper
Constrained Variational Calculus for Higher Order Classical Field Theories C. M. Campos, M. de Leon, D. Martin de Diego Journal of Physics A: Mathematical and Theoretical 455206 43(45) paper
Year: 2011
Paper Authorssort ascending Journal Pages Volume URL
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
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
On the geometry of higher-order variational problems on Lie groups L. Colombo-D.Martín de Diego 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
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
GARCH options via local risk minimization J.P. Ortega Quantitative Finance 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
A geometric approach to integrability of Abel differential equations J.F. Cariñena, Javier de Lucas, M.F. Rañada Int. J. Theoretical Physics IJTP4137 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
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
Harmonic almost contact structures via intrinsic torsion J.C. González-Dávila, F. Martín Cabrera Israel J. Math 145-187 181 paper
Heterogeneous discounting in economic problems J. Marín-Solano, C. Patxot Optimal Control Applications and Methods paper
Superposition rules for higher-order systems and their applications. J. F. Cariñena, J. Grabowski, J. de Lucas Preprint-arXiv 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
Campos magnéticos caóticos creados por cables de corriente continua J. Aguirre, A. Luque, D. Peralta Revista Española de Física paper
Smoothness of holonomy covers for singular foliations and essentia isotropy I. Androulidakis, M. Zambon Preprint-arXiv paper
A Geometric Approach to discrete Mechanics for optimal control Theory F. Jiménez, D. Martín paper
Reduction of Lie-Jordan Banach algebras and quantum states F. Falceto, L. Ferro, A. Ibort, G. Marmo: Preprint-arXiv paper
From action-angle coordinates to geometric quantization: a round trip Eva Miranda Oberwolfach report, Geometric quantization in the non-compact setting paper
Generic linear systems for projective CR manifolds. D. Martínez Torres Differential Geometry and its Applications paper
A note on strict C-convexity. D. Martínez Torres Rev. Mat. Complutense paper
Universal lifting theorem and quasi-Poisson groupoids D. Iglesias Ponte, C. Laurent-Gengoux, P. Xu Journal of the European Mathematical Society paper
Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds Cédric M. Campos, Elisa Guzmán, Juan Carlos Marrero Preprint paper
Covariantizing Classical Field Theories Castrillón López, M. Gotay J. Geom. Mech. 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
Action-angle coordinates for integrable systems on Poisson manifolds C. Laurent-Gengoux, E. Miranda, P. Vanhaecke IMRN paper
Year: 2009
Paper Authorssort ascending Journal Pages Volume URL
Global and robust formation-shape stabilization of relative sensing networks J. Cortés Automatica 2754-2762 45 (12)

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