Elimination of delay-free loops in discrete-time models of nonlinear acoustic systems

Nonlinear acoustic systems are often described by means of nonlinear maps a cting as instantaneous constraints on the solutions of a system of linear d ifferential equations, This description leads to discrete-time models exhib iting noncomputable loops. We present a solution to this computability prob lem by means of geometrical transformation of the nonlinearities and algebr aic transformation of the time-dependent equations, The proposed solution l eads to stable and accurate simulations even at relatively low sampling rat es.