Fractals, bifurcations and chaos in chemical reactors

Zusatztext

The heart of most chemical plants is a chemical reactor. They are described by system of differential equations. Each of these models can generate complex solutions, including: multiple steady states, periodic oscillations, quasiperiodic oscillations or chaos. Analysis of this equations requires the use of 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 problems, chaotic oscillations and fractals. Different methods were presented which were used to solve above mention problems. The following concepts as: bifurcation, Lyapunovs exponent, Lyapunovs time and power spectrum were used for this purpose. Presentation of these phenomena on bifurcation diagrams and phase planes give fractal images. This study is based on the author's own research cycle.

Autorenportrait

Prof. Marek Berezowski is a lecturer at the Silesian University of Technology. Engaged in research on nonlinear dynamics. He also worked at the Cracow University of Technology and the Polish Academy of Sciences. He already published two books: "Dynamics of processes in a porous catalyst pellet" and "How to understand the brain?" (in Polish).

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