Chaos occurs widely in engineering and natural systems. Historically it has been noted only as irregular or unpredictable behaviour and often attributed to random external influences. Further studies have shown that chaotic phenomena are completely deterministic and characteristic for typical nonlinear systems. These studies posed the question of the practical applications of chaos. One of the possible answers is to control chaotic behaviour in such a way as to make it predictable. Recently there have been examples of the potential usefulness of chaotic behaviour and this has caused growing interest among engineers and applied scientists. In this book the new mathematical ideas in nonlinear dynamics are described such that engineers can apply them in real physical systems.
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From a review of the first edition by Prof. El Naschie, University of Cambridge: "Small is beautiful and not only that, it is comprehensive as well. These are the spontaneous thoughts which came to my mind after browsing in this latest book by Prof. Thomas Kapitaniak, probably one of the most outstanding scientists working on engineering applications of Nonlinear Dynamics and Chaos today. A more careful reading reinforced this first impression....The presentation is lucid and user friendly with theory, examples, and exercises."
Recent mathematical ideas in nonlinear dynamics are described in this text in order that engineers might apply them in real physical systems. Central to this is the application of chaos theory, for Kapitaniak claims that chaos occurs widely in engineering and natural systems. Historically, chaos has been noted as irregular or unpredictable, and often attributed to random external influences. However, this text contests that research has shown chaos to be deterministic and is characteristic for typical nolinear systems.
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