Titlebook: Complex and Adaptive Dynamical Systems; A Primer Claudius Gros Textbook 20112nd edition Springer-Verlag Berlin Heidelberg 2011 adaptive sys

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Ellen Kitson-Reynolds,Alison Trenerrynd material, others deal with the investigation of models through computer simulations. For all exercises having analytic solutions these are given in this chapter in an hopefully easy to follow step-by-step presentation. Computer codes for exercises needing a programming effort are given only for s

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https://doi.org/10.1007/978-3-322-84799-7Complex system theory deals with dynamical systems containing very large numbers of variables. It extends dynamical system theory, which deals with dynamical systems containing a few variables. A good understanding of dynamical systems theory is therefore a prerequisite when studying complex systems.

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,Ähnlichkeit und Dimensionsanalyse,What do we mean when by saying that a given system shows “complex behavior”, can we provide precise measures for the degree of complexity? This chapter offers an account of several common measures of complexity and the relation of complexity to predictability and emergence.

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,Ähnlichkeit und Dimensionsanalyse,Complex system theory deals with dynamical systems containing a very large number of variables. The resulting dynamical behavior can be arbitrary complex and sophisticated. It is therefore important to have well controlled benchmarks, dynamical systems which can be investigated and understood in a controlled way for large numbers of variables.

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Chaos, Bifurcations and Diffusion,Complex system theory deals with dynamical systems containing very large numbers of variables. It extends dynamical system theory, which deals with dynamical systems containing a few variables. A good understanding of dynamical systems theory is therefore a prerequisite when studying complex systems.