Interaction of eigenvalues in multi-parameter problems |
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| Authors: | A.P. Seyranian A.A. Mailybaev |
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| Affiliation: | Institute of Mechanics, Moscow State Lomonosov University, Michurinsky pr. 1, 119192 Moscow, Russia |
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| Abstract: | The paper presents a new general theory of interaction of eigenvalues of matrix operators depending on parameters. Both complex and real eigenvalues are considered. Strong and weak interactions are distinguished, and their geometric interpretation on the complex plane is given. Mechanical examples are presented and discussed in detail. |
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