Parametric Oscillations in Elastic Systems Excited by Random Perturbations with a Finite Correlation Radius.

The paper addresses the dynamic stability of random systems. The dynamic stability bounds are established on the basis of the definition of stability with respect to moment functions. The differential equations for these functions are derived by approximating an exponentially correlated normal random process by a random process with a finite number of states. These results are shown to agree with the well-known results for parametric white noise excitation [ABSTRACT FROM AUTHOR]