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Integral manifolds and adiabatic invariants of systems in slow evolution

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Asymptotic Analysis II —

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 985))

Abstract

The purpose of this review article is to describe the method of constructing asymptotic integral manifolds and adiabatic invariants of systems in slow evolution. We consider systems with structurally stable and unstable evolutions (the latter undergo structural transitions) and systems with mixing. The relation between the slowness of evolution and structural and evolutionary stabilities is analysed.

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Authors and Affiliations

  1. Institute of Physics and Technology, The Ukrainian Academy of Sciences, 310108, Kharkov, Russia

    A. S. Bakaj

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  1. A. S. Bakaj
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F. Verhulst

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© 1983 Springer-Verlag

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Bakaj, A.S. (1983). Integral manifolds and adiabatic invariants of systems in slow evolution. In: Verhulst, F. (eds) Asymptotic Analysis II —. Lecture Notes in Mathematics, vol 985. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062365

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  • DOI: https://doi.org/10.1007/BFb0062365

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12286-9

  • Online ISBN: 978-3-540-39612-3

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