Stability and chaos in randomly inhomogeneous two-dimensional media and <i>LC</i> circuits

A.M. Dykhne^a, A.A. Snarskii^b, M.I. Zhenirovskii^b
^aState Scientific Center of the Russian Federation ‘Troitsk Institute for Innovation and Fusion Research’, Troitsk, Moscow Region, Russian Federation
^bNational Technical University of Ukraine ‘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.

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/
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000225645400004
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2004PhyU...47..821D
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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Оригинал: Дыхне А М, Снарский А А, Женировский М И «Устойчивость и хаос в двумерных случайно-неоднородных срeдах и LC-цепочках» УФН 174 887–894 (2004); DOI: 10.3367/UFNr.0174.200408d.0887

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