Abstract
The work of Lorenz 1963 and of Ruelle and Takens 1971 initiated the introduction into hydrodynamic stability theory of concepts and principles from the currently active mathematical field of topological dynamical systems. It was immediately clear that some of the concepts, for example the concept of generic properties of systems, have many applications elsewhere in physics. Also the new concepts and principles put new light on old things, such as bifurcation phenomena. The idea of strange attractors and their connection with continuous power spectra gave a new understanding of chaotic behavior generally.
Prerequisites: Chapters 1–8; some knowledge of fluid dynamics.
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© 1981 Springer-Verlag Inc.
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Richtmyer, R.D. (1981). Bifurcations in Hydrodynamic Stability Problems. In: Principles of Advanced Mathematical Physics. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51076-2_12
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DOI: https://doi.org/10.1007/978-3-642-51076-2_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-51078-6
Online ISBN: 978-3-642-51076-2
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