Chaos for Engineers
Theory, Applications, and Control
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Beschreibung
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 in chaos 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. On the other hand the importance of mathematical preciseness is emphasized by giving the fundamental definitions and theorems (although without proofs).
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.
Comprehensive
A large number of examples serve to illustrate the mathematical tools
Theoretical chapters (Chap. 1-5) finish with a number of problems
"Professor Kapitaniak is one of the best internationally known names in nonlinear dynamics and chaos applications with more than 100 papers and 10 books to his credit."
(Prof. M.S. El Naschie in Chaos, Solitons and Fractals, vol. 8, no. 4 (1997))
Autor*in
Tomasz Kapitaniak
Themen in »Chaos for Engineers«
Feedback and Control Potential behavior calculus chaos communication control dynamical systems dynamics dynamische Systeme fractal model nonlinear dynamics