Abstract
In this work we investigate how the behavior of a continuous stirred tank reactor (CSTR) sustaining a zeroth-order reaction is modified when one of the parameters varies stochastically. We start with a brief discussion of the theoretical basis which helps us analyze the effect of stochastic variations in one parameter on the dynamic behavior of one-dimensional nonlinear systems. The terminal behavior of dissipative, “open”, deterministic one-dimensional systems is the time-invariant steady state. In the presence of nonlinearities, the system can possess multiple steady solutions. In the presence of noise the system state is now described probabilistically in terms of probability density functions. This describes the frequency with which the state variable attains values in an interval. The steady state of the deterministic system is now replaced by the stationary probability distribution (if it exists). The stationary probability distribution characterizing the system behavior is obtained when the noise i...
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