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Titlebook: Chaos for Engineers; Theory, Applications Tomasz Kapitaniak Book 2000Latest edition Springer-Verlag Berlin Heidelberg 2000 Analysis.Chaos.N

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Book 2000Latest editionitaniak, 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."
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Tomasz KapitaniakA small but comprehensive text, which summarizes relevant mathematical background and describes applications of interest to engineers and applied scientists.Includes supplementary material:
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https://doi.org/10.1007/978-3-642-57143-5Analysis; Chaos; Natur; communication; model; nonlinear dynamics; complexity
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Discrete Dynamical Systems,ase of the Poincaré map introduced in the previous chapter. The dynamics of discrete dynamical systems is usually simple enough to be explained in detail. We use these systems to describe the main phenomena of nonlinear dynamics.
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Fractals,oduce basic examples and properties of fractal sets starting with a classical example of the Cantor set and introduce different definitions of its dimension. Later we discuss the application of the fractal concept to dynamics and show that it is very useful in the description of strange chaotic attractors.
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Routes to Chaos,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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