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Determining observations for stability and bifurcation on a finite time interval in variational control systems with a parameter

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Abstract

We consider stability and bifurcation on a finite time interval in a thermoviscoelastoplastic contact problem posed in the form of a variational system depending on a parameter. To describe stability and bifurcation, the latter being understood as stability loss on a finite time interval, we use the frequency-domain approach. We present frequency-domain conditions for the existence of determining observations and the absolute dichotomy of the variational equation.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    D. Yu. Kalinichenko

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  1. D. Yu. Kalinichenko
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Correspondence to D. Yu. Kalinichenko.

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Kalinichenko, D.Y. Determining observations for stability and bifurcation on a finite time interval in variational control systems with a parameter. Diff Equat 51, 1692–1702 (2015). https://doi.org/10.1134/S0012266115130030

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  • DOI: https://doi.org/10.1134/S0012266115130030

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