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Remarks on the delay of the loss of stability of systems with changing parameter

Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1455)

Abstract

A new kind of delay of the Andronov — Hopf bifurcation in a concrete system with slowly varying parameter is presented.

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References

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    V.I. Arnold, V.S. Afraimovich, Yu.S. Iliashenko, L.P. Shilnikov, "Bifurcation theory". Modern Problems of Mathematics, Fundamental Directions, v.5, VINITI, Moscow 1986, [Russian].Google Scholar
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    A.I. Neishtadt, Study of the asymptotic loss of stability of equilibrium under slow transition of two eigenvalues through the imaginary axis, Uspiehi Mat. Nauk 40(5), 300–301, (1985), [Russian].Google Scholar
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    A.I. Neishtadt, On delayed stability loss under dynamical bifurcation. I. Differential Equat., 23(12), 2060–2067,(1987); II. Differential Equat., 34(2), 226–233, (1988), [Russian].MathSciNetGoogle Scholar
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    M.A. Shishkova, Study of a system of differential equations with a small parameter at higher derivative, Dokl. AN USSR, 209(3), 576–579, (1973), [Russian].Google Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of WarsawWarsaw, PKiN, IX p.Poland

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