Singularities of stationary states of dynamic systems under control parameters change

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Verbitskij, V.G.
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Bifurcation (mathematics) - Dynamics - Eigenvalues and eigenfunctions - Matrix algebra - Parameter estimation - Stability;
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摘要
Two and three parametrical families of stationary states of dynamic system are considered. The loss of stability of the stationary states in a critical case of one zero eigenvalue of linearization matrix connected with real bifurcations. The manifold of stationary states in the appropriate point has singularity of cusp or butterfly.
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页码:10 / 16
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