Singularities of Manifolds of Stationary States of Dynamic Systems under Change of Control Parameters

V. G. Verbitsky

doi:10.1615/JAutomatInfScien.v31.i4-5.30

Journal of Automation and Information Sciences

Editor en Jefe: Arkadiy A. Chikriy (open in a new tab)

Editor Asociados: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publicado 12 números por año

ISSN Imprimir: 1064-2315

ISSN En Línea: 2163-9337

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Singularities of Manifolds of Stationary States of Dynamic Systems under Change of Control Parameters

Volumen 31, Edición 4-5, 1999, pp. 6-11

DOI: 10.1615/JAutomatInfScien.v31.i4-5.30

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V. G. Verbitsky
Institute of Railway Transportation, Kiev

SINOPSIS

Two- and three-parameter families of stationary states of a dynamic system are considered. A loss of stability in the critical case of one zero eigenvalue of the linearization matrix is connected with real bifurcations. The manifolds of stationary states at the respective point have cusp or butterfly singularity.

PALABRAS CLAVE: dynamic systems, control parameters, manifolds, cusp and butterfly singularities

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