On the Lie symmetries of a class of generalized Ermakov systems

Details On the Lie symmetries of a class of generalized Ermakov systems On the Lie symmetries of a class of generalized Ermakov systems

2002-11-17

arxiv.org/abs/math-ph/0211031v1

Phys. Lett. A v. 239 (1998) 348-352

Physics

Mathematical Physics

Scientific paper

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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