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Mathematical Introduction to Dynamical Systems

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An Exploration of Dynamical Systems and Chaos

Abstract

In this chapter, we present in the simplest possible manner a survey of some of the fundamental mathematical concepts and tools which are required for 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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Argyris (Deceased), J., Faust, G., Haase, M., Friedrich (Deceased), R. (2015). Mathematical Introduction to Dynamical Systems. In: An Exploration of Dynamical Systems and Chaos. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46042-9_3

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  • DOI: https://doi.org/10.1007/978-3-662-46042-9_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-46041-2

  • Online ISBN: 978-3-662-46042-9

  • eBook Packages: EngineeringEngineering (R0)

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