Fractals and Chaotic Phenomena in Chemical Reactor Models
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The heart of most chemical plants is a chemical reactor. Basically there are two types of reactors: tubular and tank. Depending on the type, they are described by system of partial differential equations or by system of ordinary differential equations. Each of these models can generate complex solutions, including chaos. Analysis of this type of equations requires using sophisticated mathematical methods and complex numerical algorithms. In this study these phenomena and methods of analysis were presented. Particular attention is paid to the bifurcation problem and chaotic oscillations. Differ...
The heart of most chemical plants is a chemical reactor. Basically there are two types of reactors: tubular and tank. Depending on the type, they are described by system of partial differential equations or by system of ordinary differential equations. Each of these models can generate complex solutions, including chaos. Analysis of this type of equations requires using sophisticated mathematical methods and complex numerical algorithms. In this study these phenomena and methods of analysis were presented. Particular attention is paid to the bifurcation problem and chaotic oscillations. Different mathematical - numerical methods were presented which were used to solve above mention problems. The following concepts as: bifurcation, Lyapunov's exponent, Lyapunov's time and power spectrum were used for this purpose. The way of chaos crisis prediction was presented and optimization of reactor's process by relaxation method. At the end, it was presented two-parameter continuation method for Hopf bifurcation. This book is an extension of my previously published book "Chaotic Dynamics and Fractals in Chemical Reactor Systems" from 2019 (LAP).
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