Abstract
In this paper we show that a damped harmonic oscillator (the simplest dissipative physical system) is canonically equivalent to a generalized harmonic oscillator (a conservative system) even for time-dependent parameters. As a consequence, the Hannay's angles and the adiabatic invariants of the two systems appear to be the same, modulo this equivalence. This raises the question of whether this analogy can be extended to other nonlinear dissipative systems.
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