Papers

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Year: 2010
Paper Authors Journal Pages Volume URL
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
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
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
Discrete-time dynamic average consensus M. Zhu, S. Martínez Automatica 322-329 46 (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
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
Distributed interpolation schemes for field estimation by mobile sensor networks S. Martínez IEEE Transactions on Control Systems Technology 491-500 18 (2) 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
Geometric quantization of integrable systems with hyperbolic singularities M. Hamilton, E. Miranda Annales de l´Institut Fourier 51-85 60 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
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
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
Reduction of Dirac structures along isotropic subbundles I. Calvo. F. Falceto, Reports on Mathematical Physics 259-269 65 (2) 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
On Jacobi quasi-Nijenhuis algebroids and Courant-Jacobi algebroid morphisms R. Caseiro, A. De Nicola, J. Nunes J. Geom. and Phys. 951-961 60 paper
On two superintegrable nonlinear oscillators in N dimensions Angel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni preprint-arxiv paper
Higher Lie algebra actions on Lie algebroids M. Zambon- Chenchang Zhu Preprint paper
On Jacobi quasi-Nijenhuis algebroids and Courant-Jacobi algebroid morphisms R. Caseiro, A. De Nicola, J. M. Nunes da Costa J. Geom. and Phys 951-961 60 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
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
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
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
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
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 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
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
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
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
Lie families: theory and applications J.F. Cariñena, J. Grabowski, J. de Lucas J. Phys. A 305201 43 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
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
An extension of the Marsden-Ratiu reduction for Poisson manifolds Marco Zambon Letters in Mathematical Physics 203-219 85 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

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