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This book reports on important nonlinear aspects or deterministic chaos issues in the systems of multi-phase reactors. The reactors treated in the book include gas-liquid bubble columns, gas-liquid-solid fluidized beds and gas-liquid-solid magnetized fluidized beds. The authors take pressure fluctuations in the bubble columns  as time series for nonlinear analysis, modeling and forecasting. They present qualitative and quantitative non-linear analysis tools which include attractor phase plane plot, correlation dimension, Kolmogorov entropy and largest Lyapunov exponent calculations and local non-linear short-term prediction.

Chaotic behavior in systems. --- Engineering. --- Hydraulic engineering. --- Engineering, Hydraulic --- Construction --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Fluids. --- Statistical physics. --- Fluid mechanics. --- Engineering Fluid Dynamics. --- Fluid- and Aerodynamics. --- Nonlinear Dynamics. --- Industrial arts --- Technology --- Hydromechanics --- Continuum mechanics --- Physics --- Mathematical statistics --- Hydraulics --- Mechanics --- Hydrostatics --- Permeability --- Statistical methods --- Engineering --- Fluid mechanics --- Shore protection --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Applications of Nonlinear Dynamics and Chaos Theory. --- Time-series analysis.