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

  • Vladimir Igorevich Arnold


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.

Bibliographical Comments

The Levantovskij finiteness theorem is proved in :

  1. 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).zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Vladimir Igorevich Arnold
    • 1
  1. 1.Department of MathematicsUniversity of MoscowMoscowUSSR

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