Titlebook: Chaos for Engineers; Theory, Applications Tomasz Kapitaniak Book 19981st edition Springer-Verlag Berlin Heidelberg 1998 Feedback and Contro

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Biochemical Sensors Based on Porous Silicon,s during the transition from periodic to chaotic states. The mechanism of the transition to chaos is of fundamental importance for understanding the phenomenon of chaotic behaviour. There are three main routes to chaos which can be observed in nonlinear oscillators.

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FUSC

Biochemical Sensors Based on Porous Silicon,and designed out if possible. It has been noted only as irregular or unpredictable behaviour, and often attributed to random external influences. More recently there have been examples of the potential usefulness of chaotic behaviour, and we describe some of the potential usefulness of chaotic behaviour in this chapter.

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Discrete Dynamical Systems, the case of Poincaré maps introduced in the previous chapter. The dynamics of discrete dynamical systems is usually simple enough to be explained in details. We use these systems to describe the main phenomena of nonlinear dynamics.

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Fractals,es and properties of fractal sets starting with a classic example of the Cantor set and introduce different definitions of its dimension. Later we discuss the application of the fractal concept to the dynamics and show that it is very useful in the description of strange chaotic attractors.

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Applications,c behaviour in mechanical engineering, chemical reactions, electronic circuits, civil engineering problems, and fluid dynamics. Presented examples show the variety of possible applications of chaotic and fractal dynamics in different branches of engineering. They can be considered as starting points for readers’ own research in a chosen branch.

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Optical Components from Mesoporous Silicon, the case of Poincaré maps introduced in the previous chapter. The dynamics of discrete dynamical systems is usually simple enough to be explained in details. We use these systems to describe the main phenomena of nonlinear dynamics.