On the Dirac approach to constrained dissipative dynamics

In this paper, we propose a novel algebraic and geometric description for t he dissipative dynamics. Our formulation bears some similarity to the Poiss on structure for non-dissipative systems. We develop a canonical descriptio n for constrained dissipative systems through an extension of the Dirac bra ckets concept, and we present a new formula for calculating Dirac brackets. This formula is particularly useful in the description of dynamical system s with many second-class constraints. After presenting the necessary formal background we illustrate our method on several examples taken from particl e dynamics, continuum media physics and wave mechanics.