Methodological notes

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.

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PACS: 03.50.De, 05.45.Ac, 41.20.−q, 64.60.Ak, 84.32.−y (all)
DOI: 10.1070/PU2004v047n08ABEH001678
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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