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/
Web of Science

000225645400004
ADS NASA

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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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

References (21) Cited by (9) Similar articles (20) ↓

A.M. Dykhne, G.L. Yudin “Stimulated effects upon ’jarring’ of an electron in an external electromagnetic field” Sov. Phys. Usp. 20 80–86 (1977)
G.N. Gaidukov, A.A. Abramov “An interpretation of the energy conservation law for a point charge moving in a uniform electric field” Phys. Usp. 51 163–166 (2008)
I.N. Toptygin, K. Levina “Energy—momentum tensor of the electromagnetic field in dispersive media” Phys. Usp. 59 141–152 (2016)
B.M. Bolotovskii, A.V. Serov “Features of the transition radiation field” Phys. Usp. 52 487–493 (2009)
V.P. Makarov, A.A. Rukhadze “Force acting on a substance in an electromagnetic field” Phys. Usp. 52 937–943 (2009)
V.S. Beskin, A.A. Zheltoukhov “On the anomalous torque applied to a rotating magnetized sphere in a vacuum” Phys. Usp. 57 799–806 (2014)
I.Ya. Brusin “A topological approach to the determination of macroscopic field vectors” Sov. Phys. Usp. 30 60–63 (1987)
A.G. Shalashov, E.D. Gospodchikov “Impedance technique for modeling of electromagnetic wave propagation in anisotropic and gyrotropic media” Phys. Usp. 54 145–165 (2011)
V.G. Veselago “Energy, linear momentum, and mass transfer by an electromagnetic wave in a negative-refraction medium” Phys. Usp. 52 649–654 (2009)
D.V. Karlovets “On dual representation in classical electrodynamics” Phys. Usp. 53 817–824 (2010)
V.B. Morozov “On the question of the electromagnetic momentum of a charged body” Phys. Usp. 54 371–374 (2011)
B.M. Bolotovskii, S.N. Stolyarov “Radiation from and energy loss by charged particles in moving media” Sov. Phys. Usp. 35 (2) 143–150 (1992)
V.S. Malyshevsky “Is it possible to measure the electromagnetic radiation of an instantly started charge?” Phys. Usp. 60 1294–1301 (2017)
N.N. Rosanov, R.M. Arkhipov, M.V. Arkhipov “On laws of conservation in electrodynamics of continuous media (on the occasion of the 100th anniversary of the S.I. Vavilov State Optical Institute)” Phys. Usp. 61 1227–1233 (2018)
G.N. Gaidukov, I.N. Gorbatyy “Electromagnetic analogies in electro- and magnetostatics problems” Phys. Usp. 62 413–420 (2019)
I.I. Abbasov, B.M. Bolotovskii, V.A. Davydov “High-frequency asymptotic behavior of radiation spectra of moving charges in classical electrodynamics” Sov. Phys. Usp. 29 788–796 (1986)
S.G. Arutyunyan “Electromagnetic field lines of a point charge moving arbitrarily in vacuum” Sov. Phys. Usp. 29 1053–1057 (1986)
M.Yu. Romanovsky “On R L Stratonovich's formula for transition from dynamic to probabilistic measurements and its connection with operations on distribution functions of random variables” Phys. Usp. 67 1056–1064 (2024)
V.P. Kazantsev, O.A. Zolotov et al “Interaction energy of point electric multipoles” Phys. Usp. 68 843–849 (2025)
V.L. Ginzburg “The nature of spontaneous radiation” Sov. Phys. Usp. 26 713–719 (1983)

The list is formed automatically.