DOI10.1063/1.1337614zbMath1030.70007arXivnlin/0011011OpenAlexW2019756435MaRDI QIDQ2774793
Maria Clara Nucci, Peter G. L. Leach
Publication date: 26 February 2002
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0011011
Minimally superintegrable systems in flat three-dimensional space are also linearizable,
An illustrative application of the Lie symmetries in the context of first-order mechanical systems: Hathaway's circular pursuit problem,
Lie point symmetries and first integrals: The Kowalevski top,
Lorenz integrable system moves à la Poinsot,
Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator,
Hidden linearity in systems for competition with evolution in ecology and finance,
The Economy of Complete Symmetry Groups for Linear Higher Dimensional Systems,
Symmetries and Integrating Factors,
Jacobi's Last Multiplier and the Complete Symmetry Group of the EulerPoinsot System,
Linearity of minimally superintegrable systems in a static electromagnetic field,
Are all classical superintegrable systems in two-dimensional space linearizable?,
Equivalence classes of second-order ordinary differential equations with only a three-dimensional Lie algebra of point symmetries and linearisation.,
An integrable SIS model.,
Jacobi's last multiplier, Lie symmetries, and hidden linearity: ``goldfishes galore, Maximally superintegrable systems in flat three-dimensional space are linearizable, Preface to the special issue on the tercentenary of the Laplace-Runge-Lenz vector, Symmetry, Singularities and Integrability in Complex Dynamics V: Complete Symmetry Groups of Certain Relativistic Spherically Symmetric Systems, Generalised Symmetries and the Ermakov-Lewis Invariant, Complete symmetry groups of ordinary differential equations and their integrals: Some basic considerations, A multiple scales approach to maximal superintegrability, Superintegrability and time-dependent integrals, Lie symmetries of a Painleve-type equation without Lie symmetries, Generalisations of the LaplaceRungeLenz Vector, Group Analysis and Heir-Equations for Thin Liquid Films, Superintegrable systems in non-Euclidean plane: Hidden symmetries leading to linearity, Application of Lie group analysis to a core group model for sexually transmitted diseases
