Latest Papers

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: 2010
Paper Authors Journal Pages Volume URL
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
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
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
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
Variational integrators for Discrete Lagrange Problems P.L. García, A. Fernández, C. Rodrigo Journal of Geometric Mechanics 343 - 374 2(4) paper
Lie systems: theory, generalisations, and applications J.F. Cariñena, J. de Lucas Dissertationes Mathematicae paper
A geometric approach to integrability of Abel equations J.F. Cariñena, J. de Lucas, M.F. Rañada Int. J. Theor. Phys. paper
A new proof of the higher-order superintegrability of a noncentral oscillator with inversely quadratic nonlinearities M.F. Rañada, M.A. Rodríguez, M. Santander J. Math. Phys. 42901 51(4) 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
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
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
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
Lie families: theory and applications J.F. Cariñena, J. Grabowski, J. de Lucas J. Phys. A 305201 43 paper
k-symplectic and k-cosymplectic Lagrangian field theories: some interesting examples and applications M.C. Muñoz-Lecanda, M. Salgado, S. Vilariño International Journal of Geometric Methods in Modern Physics 669-692 7(4) paper
Quasivelocities and Optimal Control for underactuated Mechanical Systems L. Colombo, D. Martín de Diego AIP Conf. Proc. 133-140 1260 paper
Phase splitting for periodic Lie systems R. Flores, J. de Lucas, Y. Vorobiev J. Phys A. 205208 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
A note on the separability of canonical integrations of Lie algebroids D. Martínez Torres Math. Res. Lett 69-75 17(1) 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
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
Simulating Nonholonomic Dynamics M. Kobilarov, D. Martín de Diego, S. Ferraro Boletín de la Sociedad Española de Matemática Aplicada 61-81 50 paper
3D Riemannian and Lorentzian spaces of non-constant curvature and their superintegrable Hamiltonians from a quantum sl2 algebra, A. Ballesteros, A. Enciso, F.J. Herranz and O. Ragnisco Phys. At. Nuclei 255–263 73 paper
On the tomographic picture of quantum mechanics A. Ibort, V.I. Manko, G. Marmo, A. Simoni, F. Ventriglia Phys.Lett.A 2614-2617 374 paper
Level density of spin chains of Haldane--Shastry type A. Enciso, F. Finkel and A. González-López Phys. Rev. E 051117 82 paper
Quantum fields on noncommutative spacetimes: theory and phenomenology A. P. Balachandran, A. Ibort, G. Marmo, M. Martone SIGMA 52 6 paper
Coverage optimization and spatial load balancing by robotic sensor networks J. Cortés IEEE Transactions on Automatic Control 749-754 55 (3) paper
The hydrodynamic Chaplygin sleigh Y.N. Fedorov, L.C. García-Naranjo J. Phys. A: Math. Theor. 434013 43 paper
Deployment algorithms for a power-constrained mobile sensor network A. Kwok, S. Martínez International Journal of Robust and Nonlinear Contro 745–763 20(7) 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
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
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
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
Consumption and Portfolio Rules for Time-Inconsistent Investors J. Marín-Solano, J. Navas European Journal of Operational Research 860-872 201(3) 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
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
Discrete-time dynamic average consensus M. Zhu, S. Martínez Automatica 322-329 46 (2) paper
Distributed interpolation schemes for field estimation by mobile sensor networks S. Martínez IEEE Transactions on Control Systems Technology 491-500 18 (2) paper
Hamiltonian Mechanical Systems on Lie Algebroids, Unimodularity and Preservation Of Volumes JC Marrero Journal of Geometric Mechanics 243-263 2 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
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
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
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
Year: 2009
Paper Authors Journal Pages Volume URL
A catalog of inverse-kinematics planners for underactuated systems on matrix groups S. Martínez, J. Cortés, F. Bullo Journal of Geometric Mechanics 445-460 1 (4) paper
Global and robust formation-shape stabilization of relative sensing networks J. Cortés Automatica 2754-2762 45 (12)
Year: 2008
Paper Authors Journal Pages Volume URL
An extension of the Marsden-Ratiu reduction for Poisson manifolds Marco Zambon Letters in Mathematical Physics 203-219 85 paper
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: 2007
Paper Authors Journal Pages Volume URL
N. Román-Roy, M. Salgado, S. Vilariño N. Román-Roy, M. Salgado, S. Vilariño. Rev. Math. Phys. 1117-1147. 19 paper
Year: 2005
Paper Authors Journal Pages Volume URL
Nonstandard connections in k-cosymplectic field theory. M. Muñoz-Lecanda, M. Salgado, S. Vilariño. J. Math. Phys 46 paper