Dynamics of nonlinear chemical process with multiplicative stochastic noise

BARATTI, ROBERTO;TRONCI, STEFANIA;Schaum, Alexander;Alvarez, Jesus

2016-01-01

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Abstract

Motivated by problems in process design, monitoring and control, the effect of multiplicative stochastic uncertainty injection on the behavior of nonlinear dynamical system is studied with Fokker Abstract: Motivated by problems in process design, monitoring and control, the effect of multiplicative Abstract: Motivated by problems in process design, monitoring and control, the effect of multiplicative Abstract: Motivated by problems in process design, monitoring and control, the effect of multiplicative Planck theory for two rather simple case examples selected to draw rigorous results with analytic stochastic uncertainty injection on the behavior of nonlinear dynamical system is studied with Fokker stochastic uncertainty injection on the behavior of nonlinear dynamical system is studied with Fokker stochastic uncertainty injection on the behavior of nonlinear dynamical system is studied with Fokker formulae. The effect of noise multiplicativeness on the shape of the stationary state PDF and of the Planck theory for two rather simple case examples selected to draw rigorous results with analytic Planck theory for two rather simple case examples selected to draw rigorous results with analytic Planck theory for two rather simple case examples selected to draw rigorous results with analytic transient one along deterministic, probability diffusion, and escape time scales is characterized. The formulae. The effect of noise multiplicativeness on the shape of the stationary state PDF and of the formulae. The effect of noise multiplicativeness on the shape of the stationary state PDF and of the formulae. The effect of noise multiplicativeness on the shape of the stationary state PDF and of the findings are corroborated and illustrated with numerical simulations. The results provide insight to assist transient one along deterministic, probability diffusion, and escape time scales is characterized. The transient one along deterministic, probability diffusion, and escape time scales is characterized. The transient one along deterministic, probability diffusion, and escape time scales is characterized. The the improvement of numerical Monte Carlo and polynomial chaos methods for stochastic multi-state findings are corroborated and illustrated with numerical simulations. The results provide insight to assist findings are corroborated and illustrated with numerical simulations. The results provide insight to assist findings are corroborated and illustrated with numerical simulations. The results provide insight to assist multi-noise dynamical chemical processes underline by complex nonlinear behavior.