Titlebook: An Exploration of Dynamical Systems and Chaos; Completely Revised a John H. Argyris,Gunter Faust,Rudolf Friedrich Textbook 2015 Springer-Ve

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Kombination mit anderen Verletzungenn which the total mechanical energy is preserved, i.e. no loss of energy due to friction or damping occurs. We direct our attention in particular to so-called multi-body problems. This category includes most of the standard problems of celestial mechanics since loss of energy, caused, for example, b

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https://doi.org/10.1007/978-3-0348-6860-0nd gases as they evolve and undergo transformations under the influence of inhomogeneities in the temperature. We then speak of convective flows, thermal convection or simply convection..Spectacular geophysical examples of such phenomena are the circulation in the atmosphere and the oceans as well a

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https://doi.org/10.1007/978-3-642-86341-7gular dynamical behaviour becoming chaotic. What is surprising is that the specific form of the law of motion is not so important, but rather that the different routes to chaos possess universal character. The same transition to chaotic behaviour which we find with the Duffing oscillator, for exampl

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https://doi.org/10.1007/978-3-642-86341-7thods enable us to analyse complex dynamical behaviour arising in the most varying fields, such as biology, medicine, hydrodynamics, classical mechanics, electrical engineering, chemistry etc. The range of examples we discuss in this, the final Chapter 10 on computer experiments is correspondingly e

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Descriptive Synopsis of the Text,f chaotic phenomena. One might ask why yet another book should be published when the literature on chaos and non-linear oscillations already fills shelf after shelf following the stormy developments in this branch of science since the 1970s. The reasons which prompted us have been detailed in the pr

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Mathematical Introduction to Dynamical Systems, the qualitative analysis of the long-term behaviour of dynamical systems. A knowledge of the theory of linear differential equations is a pre-requisite for the comprehension of non-linear dynamics. The reader can find more detailed discussions in Chapters 5 and 6 of this book.

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Dynamical Systems without Dissipation,n which the total mechanical energy is preserved, i.e. no loss of energy due to friction or damping occurs. We direct our attention in particular to so-called multi-body problems. This category includes most of the standard problems of celestial mechanics since loss of energy, caused, for example, b