On one property of the eigenvalues of the linear oscillatory systems -- LC-circuits (Q1882062)
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scientific article; zbMATH DE number 2108591
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On one property of the eigenvalues of the linear oscillatory systems -- LC-circuits |
scientific article; zbMATH DE number 2108591 |
Statements
On one property of the eigenvalues of the linear oscillatory systems -- LC-circuits (English)
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18 October 2004
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The authors propose a simple method for isolating the roots of the characteristic polynomial of LC circuits and give the relationship between the eigenvalues of the individual impedances and those of the \(k\)-loop circuit. A result regarding the conservativeness of eigenvalues with multiplicity exceeding the number of node pairs in the \(k\)-loop circuit is proven as well.
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oscillatory system
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LC circuits
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characteristic polynomials
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eigenfrequencies
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eigenvalues
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0.8351840376853943
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0.760641872882843
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0.7484389543533325
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0.7483380436897278
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