Stability and chaos in randomly inhomogeneous two-dimensional media and LC circuits
A.M. Dykhne a
A.A. Snarskii b
M.I. Zhenirovskii b
a State Scientific Center of the Russian Federation ‘Troitsk Institute for Innovation and Fusion Research’, Troitsk, Moscow Region, Russian Federation
b National 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.