On the Lie symmetries of a class of generalized Ermakov systems
arXiv:math-ph/0211031 · doi:10.1016/S0375-9601(98)00020-6
Abstract
The symmetry analysis of Ermakov systems is extended to the generalized case where the frequency depends on the dynamical variables besides time. In this extended framework, a whole class of nonlinearly coupled oscillators are viewed as Hamiltonian Ermakov system and exactly solved in closed form.
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