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A Geometric Approach to the Sundman Transformation and Its Applications to Integrability.
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- Symmetry (20738994), 2024, v. 16, n. 5, p. 568, doi. 10.3390/sym16050568
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Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit.
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- Reviews in Mathematical Physics, 2023, v. 35, n. 7, p. 1, doi. 10.1142/S0129055X23300042
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Geodesic and Newtonian Vector Fields and Symmetries of Mechanical Systems.
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- Symmetry (20738994), 2023, v. 15, n. 1, p. 181, doi. 10.3390/sym15010181
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Some Applications of Affine in Velocities Lagrangians in Two-Dimensional Systems.
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- Symmetry (20738994), 2022, v. 14, n. 12, p. 2520, doi. 10.3390/sym14122520
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- Article
Infinitesimal Time Reparametrisation and Its Applications.
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- Journal of Nonlinear Mathematical Physics, 2022, v. 29, n. 3, p. 523, doi. 10.1007/s44198-022-00037-w
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- Article
Jacobi multipliers and Hojman symmetry.
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- International Journal of Geometric Methods in Modern Physics, 2021, v. 18, n. 11, p. 1, doi. 10.1142/S0219887821501668
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Jacobi Multipliers in Integrability and the Inverse Problem of Mechanics.
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- Symmetry (20738994), 2021, v. 13, n. 8, p. 1413, doi. 10.3390/sym13081413
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Left-Invariant Riemann Solitons of Three-Dimensional Lorentzian Lie Groups.
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- Symmetry (20738994), 2021, v. 13, n. 2, p. 218, doi. 10.3390/sym13020218
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Nonstandard Hamiltonian structures of the Liénard equation and contact geometry.
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- International Journal of Geometric Methods in Modern Physics, 2019, v. 16, p. N.PAG, doi. 10.1142/S0219887819400012
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- Article
Virial theorem in quasi-coordinates and Lie algebroid formalism.
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- International Journal of Geometric Methods in Modern Physics, 2014, v. 11, n. 9, p. -1, doi. 10.1142/S0219887814500558
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CANONOID TRANSFORMATIONS AND MASTER SYMMETRIES.
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- Journal of Geometric Mechanics, 2013, v. 5, n. 2, p. 151, doi. 10.3934/jgm.2013.5.151
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SOME APPLICATIONS OF QUASI-VELOCITIES IN OPTIMAL CONTROL.
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- International Journal of Geometric Methods in Modern Physics, 2011, v. 8, n. 4, p. 835, doi. 10.1142/S0219887811005427
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INTEGRABILITY OF LIE SYSTEMS THROUGH RICCATI EQUATIONS.
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- Journal of Nonlinear Mathematical Physics, 2011, v. 18, n. 1, p. 29, doi. 10.1142/S1402925111001131
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- Article
Degeneracy in one-dimensional quantum mechanics: A case study.
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- International Journal of Quantum Chemistry, 2010, v. 110, n. 7, p. 1317, doi. 10.1002/qua.22225
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GEOMETRIC HAMILTON–JACOBI THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS.
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- International Journal of Geometric Methods in Modern Physics, 2010, v. 7, n. 3, p. 431, doi. 10.1142/S0219887810004385
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LIE SYSTEMS AND INTEGRABILITY CONDITIONS FOR t-DEPENDENT FREQUENCY HARMONIC OSCILLATORS.
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- International Journal of Geometric Methods in Modern Physics, 2010, v. 7, n. 2, p. 289, doi. 10.1142/S0219887810004014
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QUANTUM LIE SYSTEMS AND INTEGRABILITY CONDITIONS.
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- International Journal of Geometric Methods in Modern Physics, 2009, v. 6, n. 8, p. 1235
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APPLICATIONS OF LIE SYSTEMS IN DISSIPATIVE MILNE–PINNEY EQUATIONS.
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- International Journal of Geometric Methods in Modern Physics, 2009, v. 6, n. 4, p. 683
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GENERALIZED BÄCKLUND–DARBOUX TRANSFORMATIONS IN ONE-DIMENSIONAL QUANTUM MECHANICS.
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- International Journal of Geometric Methods in Modern Physics, 2008, v. 5, n. 4, p. 605
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REDUCTION PROCEDURES IN CLASSICAL AND QUANTUM MECHANICS.
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- International Journal of Geometric Methods in Modern Physics, 2007, v. 4, n. 8, p. 1363
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HOPF ALGEBRAS IN DYNAMICAL SYSTEMS THEORY.
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- International Journal of Geometric Methods in Modern Physics, 2007, v. 4, n. 4, p. 577
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A GEOMETRIC APPROACH TO INTEGRABILITY CONDITIONS FOR RICCATI EQUATIONS.
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- Electronic Journal of Differential Equations, 2007, v. 2007, p. 1
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GEOMETRIC HAMILTON–JACOBI THEORY.
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- International Journal of Geometric Methods in Modern Physics, 2006, v. 3, n. 7, p. 1417
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ON SECOND NOETHER'S THEOREM AND GAUGE SYMMETRIES IN MECHANICS.
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- International Journal of Geometric Methods in Modern Physics, 2006, v. 3, n. 3, p. 471
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REDUCTION OF LIE ALGEBROID STRUCTURES.
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- International Journal of Geometric Methods in Modern Physics, 2005, v. 2, n. 5, p. 965
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Non-Hermitian Oscillator-Like Hamiltonians and λ-Coherent States Revisited.
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- Modern Physics Letters A, 2001, v. 16, n. 2, p. 91, doi. 10.1142/S021773230100295X
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Quantum Bi-Hamiltonian Systems.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2000, v. 15, n. 30, p. 4797
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Riccati Equation, Factorization Method and Shape Invariance.
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- Reviews in Mathematical Physics, 2000, v. 12, n. 10, p. 1279
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The Partnership of Potentials in Quantum Mechanics and Shape Invariance.
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- Modern Physics Letters A, 2000, v. 15, n. 16, p. 1079
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Integrability of the Riccati Equation from a Group-Theoretical Viewpoint.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 1999, v. 14, n. 12, p. 1935
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Geometric characterization of linearisable second-order differential equations.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 1996, v. 119, n. 2, p. 373, doi. 10.1017/S0305004100074235
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Geometric characterization of separable second-order differential equations.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 1993, v. 113, n. 1, p. 205, doi. 10.1017/S0305004100075897
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THE TIME-EVOLUTION OPERATOR FOR HIGHER-ORDER SINGULAR LAGRANGIANS.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 1992, v. 7, n. 11, p. 2447, doi. 10.1142/S0217751X92001083
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GEOMETRIC STUDY OF HAMILTON'S VARIATIONAL PRINCIPLE.
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- Reviews in Mathematical Physics, 1991, v. 3, n. 4, p. 379, doi. 10.1142/S0129055X9100014X
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NON-LINEAR GENERALIZATION OF THE GAUGE AMBIGUITIES OF THE LAGRANGIAN FORMALISM.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 1991, v. 6, n. 5, p. 737, doi. 10.1142/S0217751X91000411
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SYMPLECTIC STRUCTURE ON THE SET OF GEODESICS OF A RIEMANNIAN MANIFOLD.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 1991, v. 6, n. 3, p. 431, doi. 10.1142/S0217751X91000265
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