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GEOMETRIC METHODS IN PHYSICS dynamical systems |
General - geometry and mechanics ---------------- 1998 --------------- Bambusi, D.; Cicogna, G.; Gaeta, G.; Marmo, G. Normal forms, symmetry and linearization of dynamical systems Journal of physics A: Mathematical and general. Volume 31, Number 22, 5065, 1998 Boccaletti, D.; Di Bari, M.; Cipriani, P.; Pucacco, G. Finsler geometry in classical mechanics and in Bianchi cosmological models Il Nuovo cimento. B. Volume 112, Number 2/3, 213, 1997 Carinena, Jose F; Figueroa, Hector Geometric Formulation of Higher-Order Lagrangian Systems in Supermechanics Acta applicandae mathematicae. Volume 51, Number 1, pp. 25, 1998 Carinena, J. F.; Lopez, C.; Nasarre, J. Symplectic and Lie Algebraic Techniques in Geometrc Optics NASA conference publication. Number 206855, p 315, 1998 Man'Ko, O. Symplectic Tomography of Nonlinear and Schroedinger Cat States of a Trapped Ion NASA conference publication. Number 206855, p. 309, 1998 ---------------- 1997 --------------- Alekseevsky, D V; Grabowski, J; Marmo, G; Michor, P W Completely Integrable Systems -- A Generalization Modern physics letters A. Volume 12, Number 22, pp. 1637, 1997 Aldaya, V; Guerrero, J; Marmo, G Higher-Order Differential Operators On A Lie Group And Quantization International journal of modern physics. A Volume 12, Number 1, pp. 3, 1997 Ibort, A.; De Leon, M.; Marmo, G. et al. Reduction of Jacobi manifolds Journal of physics A Volume 30, Number 8, p. 2783, 1997 Man'ko, V I; Marmo, G; Zaccaria, F; Sudarshan, E C G Wigner's Problem And Alternative Commutation Relations For Quantum Mechanics International journal of modern physics. B Volume 11, Number 10, pp. 1281, 1997 Man'ko, V I; Marmo, G; Sudarshan, E C G; Zaccaria, F f-Oscillators and nonlinear coherent states Physica scripta. Volume 55, Number 5, pp. 528, 1997 Marmo, G.; Mendella, G.; Tulczyjew, W. M. Constrained Hamiltonian systems as implicit differential equations Journal of physics A: Mathematical and general. Volume 30, Number 1, p 277, 1997 Lauterszlajn-S, N; Samuelsson, A On application of differential geometry to computational mechanics Computer methods in applied mechanics and engineering. Volume 150, Number 1-4, pp. 25, 1997 Sarlet, W. Construction of Adjoint Symmetries for Systems of Second-Order and Mixed First- and Second-Order Ordinary Differential Equations Mathematical and computer modelling. Volume 25, Number 8/9, p 39, 1997 Smirnov, M. Radon Transforms, Symplectic Geometry and Inverse Problem of Geometric Calculus of Variations Mathematical research = Mathematische Forschung Volume 100, p. 369, 1997 ISSUE : Diff Equs, Asymptotic Analysis, and Math'l Physics ---------------- 1996 --------------- Cantrijn, F; Sarlet, W; Vandecasteele, A; Martinez, E Complete Separability of Time-Dependent Second-Order Ordinary Differential Equations Acta applicandae mathematicae. Volume 42, Number 3, pp. 309, 1996 Carinena, Jose F; Nasarre, Javier On the symplectic structures arising in Geometric Optics Fortschritte der Physik. Volume 44, Number 3, pp. 181, 1996 Marmo, G; Vilasi, G Symplectic Structures And Quantum Mechanics Modern physics letters. B Volume 10, Number 12, pp. 545, 1996 Martinez, E; Carinena, J F Geometric characterization of linearisable second-order differential equations Math'l proce of the Cambridge Philosophical Society. Volume 119, Number 2, pp. 373, 1996 ---------------- 1995 --------------- Balachandran, A P; Bimonte, G; Marmo, G; Simoni, A Topology change and quantum physics Nuclear physics. B. Volume 446, Number 1-2, pp. 299, 1995 Carinena, J F; Ibort, L A; Marmo, G; Stern, A The Feynman problem and the inverse problem for Poisson dynamics Physics reports. Volume 263, Number 3, pp. 153, 1995 Lutzen, J Interactions between Mechanics and Differential Geometry in the 19th Century Archive for history of exact sciences. Volume 49, Number 1, pp. 1, 1995 Mendella, G.; Marmo, G.; Tulczyjew, W. M. Integrability of implicit differential equations Journal of physics A: Mathematical and general. Volume 28, Number 1, p 149, 1995 Marmo, G.; Simoni, A.; Stern, A. Poisson Lie Group Symmetries for the Isotropic Rotator International journal of modern physics. A, Volume 10, Number 1, p. 99, 1995 Man'ko, V. I.; Marmo, G.; Zaccaria, F. Deformed field equations Physics letters: [Part A] Volume 197, Number 2, p 95, 1995 Mendella, G.; Marmo, G.; Tulczyjew, W. M. Integrability of implicit differential equations Journal of physics A: Mathematical and general. Volume 28, Number 1, p 149, 1995 Wootton, R.J. Geometry and mechanics of insect hindwing fans: a modelling approach. Proceedings of the Royal Society of London. Series B, Volume 262, Number 1364, pp. 181, 1995 Zhong, Zai-Zhe Complete algebraization of quantum mechanics in terms of quantum groups and noncommutative geometry, and q-implicate order Physical review. A. Volume 52, Number 4, pp. 2564, 1995 ---------------- 1994 --------------- Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W. Poisson structures on the cotangent bundle of a Lie group or a principle bundle and their reductions Journal of mathematical physics. Volume 35, Number 9, p. 4909, 1994 Landi, G.; Marmo, G.; Vilasi, G. Recursion operators: Meaning and existence for completely integrable systems. Journal of mathematical physics. Volume 35, Number 2, p. 808, 1994 ---------------- 1993 --------------- Carinena, Jose F.; Fernandez-Nunez, Jose Geometric Theory of Time-Dependent Singular Lagrangians. Fortschritte der Physik. Volume 41, Number 6, pp 517-552, 1993 Carinena, J. F.; Ranada, M. F. Lagrangian systems with constraints: a geometric approach to the method of Lagrange multipliers. Journal of physics A: Mathematical and general. Volume 26, Number 6, p 1335, 1993 Ibort, L. A.; Landi, G.; Marin-Solano, J.; Marmo, G. On The Inverse Problem Of Lagrangian Supermechanics. International journal of modern physics. A Volume 8, Number 20, p. 3565, 1993 Lizzi, F.; Marmo, G.; Sparano, G.; Vitale, P. Dynamical Aspects Of Lie-Poisson Structures. Modern physics letters A. Volume 8, Number 31, p. 2973, 1993 Man'ko, V. I.; Marmo, G.; Solimeno, S.; Zeccaria, F. Physical Nonlinear Aspects Of Classiccal And Quantum q-Oscillators. International journal of modern physics. A Volume 8, Number 20, p. 3577, 1993 Olshanetsky, M. A.; Rogov, V.-B. K. Liouville quantum mechanics on a lattice from geometry of quantum Lorentz group Journal of physics A: Mathematical and general. Volume 27, Number 13, 4669, 1994 ---------------- 1992 --------------- Andrica, Dorin A. T. Fomenko: Integrability and Nonintegrability in Geometry and Mechanics. Acta applicandae mathematicae. Volume 28, Number 1, 93, 1992 Kunzle, H. P. Mechanics, analysis and geometry: 200 years after Lagrange. General relativity and gravitation. Volume 24, Number 3, 343-346, 1992 Meiss, J. D. Symplectic maps, variational principles, and transport. Reviews of modern physics. Volume 64, Number 3, p. 795-848, 1992 Marmo, G.; Vilasi, G. When do recursion operators generate new conservation laws? Physics letters: [Part B] Volume 277, Number 1-2, pp. 137-140, 1992 ---------------- 1991--------------- Aguirre, M.; Krause, J. General Transformation Theory of Lagrangian Mechanics and the Lagrange Group. International journal of theoretical physics. Volume 30, Number 4, pp. 495-510, 1991 Bordemann, M.; Hoppe, J.; Theisen, S. Integrable field theories from Poisson algebras. Physics letters: [Part B] Volume 267, Number 3, 374-376, 1991 Bordemann, M.; Hoppe, J.; Schaller, P.; Schlichenmaier, M. gl(inf) and Geometric Quantization. Communications in mathematical physics. Volume 138, Number 2, 209-244, 1991 Boya, L. J.; Carinena, J. F.; Gracia-Bondia, J. M. Symplectic structure of the Aharonov-Anandan geometric phase. Physics letters: [Part A] Volume 161, Number 1, p 30-34, 1991 Carinena, Jose F.; Fernandez-Nunez, Jose; Martinez, Eduardo A Geometric Approach to Noether's Second Theorem in Time-Dependent Lagrangian Mechanics. Letters in mathematical physics. Volume 23, Number 1, p 51, 1991 Carinena, Jose F.; Lopez, Carlos Geometric Study of Hamilton's Variational Principle. Reviews in mathematical physics. Volume 3, Number 4, p 379-402 Top of this page