کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7155584 1462623 2015 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Delocalized periodic vibrations in nonlinear LC and LCR electrical chains
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Delocalized periodic vibrations in nonlinear LC and LCR electrical chains
چکیده انگلیسی
We consider electrical LC- and LCR-chains consisting of N cells. In the LC-chain each cell contains a linear inductor L and a nonlinear capacitor C, while the cell in the LCR-chain include additionally a resistor R and an voltage source. It is assumed that voltage dependence of capacitors represents an even function. Such capacitors have implemented by some experimental groups studying propagation of electrical signals in the lines constructed on MOS and CMOS substrates. In these chains, we study dynamical regimes representing nonlinear normal modes (NNMs) by Rosenberg. We prove that maximum possible number of symmetry-determined NNMs which can be excited in the considered chains is equal to 5. The stability of these modes for different N is studied with the aid of the group-theoretical method [Physical Review E 73 (2006) 36216] which allows to simplify radically the variational systems appearing in the Floquet stability analysis. For NNMs in LC-chain, the scaling of the voltage stability threshold in the thermodynamic limit (N→∞) is determined. It is shown that the above group theoretical method can be also used for studying stability of NNMs in the LCR-chains.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 22, Issues 1–3, May 2015, Pages 244-262
نویسندگان
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