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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 ascending Journal Pages Volume URL
Unimodularity and preservation of volumes in nonholonomic mechanics Yuri N. Fedorov, Luis C. García-Naranjo, Juan C. Marrero Arxiv paper
The generalized Euler-Poinsot rigid body equations: explicit elliptic solutions Yuri N. Fedorov, Andrzej J. Maciejewski, Maria Przybylska Arxiv paper
Simultaneous deformations of algebras and morphisms via derived brackets Yael Fregier, Marco Zambon ArXiv preprint paper
Homotopy moment maps Yael Fregier, Christopher L. Rogers, Marco Zambon Arxiv paper
A generalization of Szebehely's inverse problem of dynamics W. Sarlet, T. Mestdag, G. Prince Rep. Math. Phys, paper
Toric actions on b-symplectic manifolds Victor Guillemin, Eva Miranda, Ana Rita Pires, Geoffrey Scott Preprint Arxiv paper
Voevodsky's Univalence Axiom in homotopy type theory Steve Awodey, Álvaro Pelayo, Michael A. Warren Notices of the American Mathematical Society paper
New developments on the Geometric Nonholonomic Integrator Sebastián Ferraro, Fernando Jiménez, David Martín de Diego Preprint Arxiv paper
Null Phase Curves and Manifolds in Geometric Phase Theory S. Chaturvedi, E. Ercolessi, G. Morandi, A. Ibort, G. Marmo, N. Mukunda, R. Simon ArXiv preprint paper
Circle actions and geometric quantization Romero Solha ArXiv preprint paper
Miura Reciprocal transformation for two integrable hierarchies in 1+1 dimensions P. G. Estevez, C. Sardon ArXiv preprint paper
The Jacobiator of nonholonomic systems and the geometry of reduced nonholonomic brackets P. Balseiro ArXiv preprint paper
Hyperstructures on Lie algebroids P. Antunes, J. M. Nunes da Costa Arxiv paper
Higher-order superintegrability of separable potentials with a new approach to the Post-Winternitz system Manuel F. Rañada J. Phys. A: Math. Theor. 125206 46 paper
Nijenhuis forms on $L_\infty$-algebras M. J. Azimi, C. Laurent-Gengoux, J. M. Nunes da Costa Preprint Arxiv paper
Hamilton-Jacobi theory in k-cosymplectic field theories M. de León, S. Vilariño Arxiv paper
Hilbert forms for a Finsler metrizable projective class of sprays M. Crampin, T. Mestdag, D. J. Saunders ArXiv preprint paper
A class of Finsler surfaces whose geodesics are circles M. Crampin, T. Mestdag Arxiv paper
Stability of Hamiltonian relative equilibria in symmetric magnetically confined rigid bodies Lyudmila Grigoryeva, Juan-Pablo Ortega, Stanislav Zub 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
The inhomogeneous Suslov problem Luis C. García-Naranjo, Andrzej J. Maciejewski, Juan C. Marrero, Maria Przybylska Preprint Arxiv paper
Year: 2012
Paper Authorssort ascending Journal Pages Volume URL
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
Log-concavity and symplectic flows Yi Lin, Álvaro Pelayo ArXiv preprint paper
The motion of the 2D hydrodynamic Chaplygin sleigh in the presence of circulation Y. N. Fedorov, L. C. García-Naranjo, J. Vankerschaver Preprint-arXiv paper
Three natural mechanical systems on Stiefel varieties Y. N. Fedorov, B. Jovanovic Preprint-arXiv paper
Symplectic and Poisson geometry on b-manifolds Victor Guillemin, Eva Miranda, Ana Rita Pires preprint-arxiv paper
L-infinity algebra actions R. Mehta, M. Zambon Preprint-arXiv paper
Nijenhuis and Compatible Tensors on Lie and Courant algebroids Paulo Antunes, Joana M. Nunes da Costa ArXiv preprint paper
Tensorial characterization and quantum estimation of weakly entangled qubits P. Aniello, J. Clemente-Gallardo, G. Marmo, G. F. Volkert Preprint-arXiv paper
Variational principles for higher-order dynamical systems N.Roman Roy- P.D Prieto Martínez Preprint-arXiv paper
Time-ordering and a generalized Magnus expansion Michel Bauer, Raphael Chetrite, Kurusch Ebrahimi-Fard, Frederic Patras preprint-arxiv paper
Morse families in optimal control problems María Barbero-Liñán, David Iglesias Ponte, David Martín de Diego ArXiv preprint paper
Distributions and quotients on degree 1 NQ-manifolds and Lie algebroids Marco Zambon, Chenchang Zhu Preprint-arXiv paper
On the Hamilton-Jacobi Theory for Singular Lagrangian Systems Manuel de León, Juan Carlos Marrero, David Martín de Diego, Miguel Vaquero preprint-arxiv paper
A Hamilton-Jacobi Theory for Singular Lagrangian Systems in the Skinner and Rusk Setting Manuel de León, David Martín de Diego, Miguel Vaquero preprint-arxiv paper
A Universal Hamilton-Jacobi Theory Manuel de León, David Martín de Diego, Miguel Vaquero ArXiv preprint 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
Optimal Control Realizations of Lagrangian Systems with Symmetry M. Delgado-Tellez, A. Ibort, T. Rodriguez de la Peña preprint-arxiv paper
A Hamiltonian Algorithm for Singular Optimal LQ Control Systems M. Delgado-Tellez, A. Ibort preprint-arxiv paper
A numerical algorithm for singular optimal LQ control systems M. Delgado-Tellez, A. Ibort preprint-arxiv paper
Lagrangian submanifolds in k-symplectic settings. M. de León, S. Vilariño: Preprint-arXiv paper
The Equivalence Problem of Curves in a Riemannian Manifold M. Castrillon Lopez, V. Fernandez Mateos, J. Munoz Masque ArXiv preprint paper
Strongly degenerate homogeneous pseudo-Kähler structures of linear type and complex plane waves M. Castrillón López, I. Luján ArXiv preprint paper
Lagrangian submanifolds and Hamilton-Jacobi equation M. Barbero-Liñán, M. de León, D. Martín de Diego 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
Second order conditions for optimality and local controllability of discrete-time systems M. Barbero-Liñán, B. Jakubczyk ArXiv preprint paper
Nonholonomic LL systems on central extensions and the hydrodynamic Chaplygin sleigh with circulation Luis C. García-Naranjo, Joris Vankerschaver ArXiv preprint paper
Year: 2011
Paper Authorssort ascending Journal Pages Volume URL
Storage Size Determination for Grid-Connected Photovoltaic Systems Yu Ru, Jan Kleissl, Sonia Martinez Preprint paper
Energy-Based Voronoi Partition in Constant Flow Environments Y. Ru, S. Martínez Preprint-arXiv paper
Codimension one symplectic foliations and regular Poisson manifolds V. Guillemin, E. Miranda, Ana Rita Pires Bulletin of the Brazilian mathematical society paper
The homogeneous geometries of real hyperbolic space. The homogeneous geometries of real hyperbolic space. 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
Unified formalism for higher-order non-autonomous dynamical systems. P. D. Prieto Martínez, N. Román Roy Preprint-arXiv paper
Gauge Transformations, Twisted Poisson Brackets and Hamiltonization of Nonholonomic Systems P. Balseiro, L. Garcia Naranjo Preprint-arXiv paper
Hierarchies and compatibility on Courant algebroids. P. Antunes, C. Laurent-Gengoux, J. M. Nunes da Costa: Preprint-arXiv 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
SOPDES and non-linear connections N. Román-Roy, M. Salgado, S. Vilariño Publicationes Mathematicae Debrecen 78 paper
HAMILTON-JACOBI THEORY FOR DEGENERATE LAGRANGIAN SYSTEMS WITH HOLONOMIC AND NONHOLONOMIC CONSTRAINTS MELVIN LEOK, TOMOKI OHSAWA, AND DIANA SOSA Preprint paper
Characterization of accessibility for affine connection control systems at some points with nonzero velocity Maria Barbero Liñán Preprint paper
Dirac structures, nonholonomic systems and reduction Madeleine Jotz, Tudor Ratiu Preprint-arXiv paper
Glanon groupoids Madeleine Jotz, Mathieu Stiénon, Ping Xu Preprint paper
Foliated groupoids and their infinitesimal data Madeleine Jotz, Cristian Ortiz Preprint 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 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
Induced Dirac structure on isotropy type manifolds M. Jotz, T. Ratiu Transformation groups paper
Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfeld, M. Jotz Indiana University Mathematics Journal 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
Reduction of Homogeneous Riemannian Structures M. Castrillon Lopez, I. Lujan Preprint-arXiv paper
Presymplectic high order maximum principle M. Barbero Liñán, M.C. Muñoz Lecanda Rev. R. Acad. Cien. Serie A. Mat paper
Kinematic reduction and the Hamilton-Jacobi equation. M. Barbero Liñan, J.C. Marrero, D. Martín de Diego, M. Muñoz Lecanda, Preprint-arXiv paper
Year: 2010
Paper Authorssort ascending Journal Pages Volume URL
The hydrodynamic Chaplygin sleigh Y.N. Fedorov, L.C. García-Naranjo J. Phys. A: Math. Theor. 434013 43 paper
Distributed interpolation schemes for field estimation by mobile sensor networks S. Martínez IEEE Transactions on Control Systems Technology 491-500 18 (2) paper
Phase splitting for periodic Lie systems R. Flores, J. de Lucas, Y. Vorobiev J. Phys A. 205208 43 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 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
Variational integrators for Discrete Lagrange Problems P.L. García, A. Fernández, C. Rodrigo Journal of Geometric Mechanics 343 - 374 2(4) 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
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
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
Discrete-time dynamic average consensus M. Zhu, S. Martínez Automatica 322-329 46 (2) 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
Higher Lie algebra actions on Lie algebroids M. Zambon- Chenchang Zhu Preprint paper
Singular reduction of Dirac structures M. Jotz, T. Ratiu, J. Sniatycki Transactions of the American Mathematical Society 2967-3013 363 paper
Geometric quantization of integrable systems with hyperbolic singularities M. Hamilton, E. Miranda Annales de l´Institut Fourier 51-85 60 paper
Total Curvature of Curves in Riemannian Manifolds M. Castrillón López, V. Fernández, J. Muñoz Masqué Diff. Geom. Appl 140-147 28 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
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
Routh reduction for singular Lagrangians M. Castrillón López, B. Langerock Int. J. Geom. Methods in Modern Physics 1451-1489 7(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
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
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
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
Year: 2009
Paper Authorssort ascending 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
Year: 2007
Paper Authorssort ascending 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: 2008
Paper Authorssort ascending Journal Pages Volume URL
An extension of the Marsden-Ratiu reduction for Poisson manifolds Marco Zambon Letters in Mathematical Physics 203-219 85 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
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
Year: 2005
Paper Authorssort ascending 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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