  In this paper we derive the canonical distribution as a stationary solution
of the Liouville equation for the classical dissipative system. Dissipative
classical systems can have stationary states look like canonical Gibbs
distributions. The condition for non-potential forces which leads to this
stationary solution is very simple: the power of the non-potential forces must
be directly proportional to the velocity of the Gibbs phase (phase entropy
density) change. The example of the canonical distribution for a linear
oscillator with friction is considered.
