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Stability and chaos in randomly inhomogeneous two-dimensional media and LC circuits

 a,  b,  b
a State Scientific Center ofthe Russian Federation Troitsk Institute for Innovation and Fusion Research, Troitsk, Moscow Region, Russian Federation
b National Technical University ofUkraine Kyiv Polytechnical Institute, Peremogy prosp. 37, Kiev, 03056, Ukraine

Electric field distribution in 2D self-dual media, especially in nearly percolating media and LC circuits (low-frequency filters), is viewed both from the physical (fluctuations and absorption) and mathematical (stability) standpoints. The finite energy absorption paradox occurring in such systems of nonabsorbing elements is discussed.

Text can be downloaded in Russian. English translation is available on IOP Science.
PACS: 03.50.De, 05.45.Ac, 41.20.−q, 64.60.Ak, 84.32.−y (all)
DOI: 10.1070/PU2004v047n08ABEH001678
URL: https://ufn.ru/en/articles/2004/8/d/
Citation: Dykhne A M, Snarskii A A, Zhenirovskii M I "Stability and chaos in randomly inhomogeneous two-dimensional media and LC circuits" Phys. Usp. 47 821–828 (2004)
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:   ,   ,    «     - e  LC-» 174 887–894 (2004); DOI: 10.3367/UFNr.0174.200408d.0887

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