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Singularities of the Stability Boundary and the Principle of the Fragility of Good Things

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Catastrophe Theory
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Abstract

Let us consider an equilibrium state of a system depending on several parameters and let us assume that (in some domain of variation of the parameters) this equilibrium state does not bifurcate.

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Bibliographical Comments

The Levantovskij finiteness theorem is proved in :

  • L. V. Levantovskij: Singularities of the boundary of the stability domain. Funkts. Anal. Prilozh. 16:1 (1982), 44–48 (English translation: Funct. Anal. Appl. 16 (1982), 34-37).

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© 1986 Springer-Verlag Berlin Heidelberg

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Arnold, V.I. (1986). Singularities of the Stability Boundary and the Principle of the Fragility of Good Things. In: Catastrophe Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96937-9_7

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  • DOI: https://doi.org/10.1007/978-3-642-96937-9_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16199-8

  • Online ISBN: 978-3-642-96937-9

  • eBook Packages: Springer Book Archive

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