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Article title RESONANCE IN THE LINEAR STATIONARY SYSTEM WITH EXPONENTIAL OWN PROCESSES
Authors S.S. Zelmanov
Section SECTION V. MODELLING OF COMPLEX SYSTEMS
Month, Year 12, 2010 @en
Index UDC 621.3.013.62
DOI
Abstract The classic resonance definition offered by N.D. Papaleksy in his report " The evolution of the resonance" doesn"t suppose the loss account in the resonator but just the opposite nullifies these losses and leads the oscillations in the resonator to normal oscillations. The frequency of the normal oscillations is considered as resonator. However the losses in R.C-systems play the significant constructional role. At the same time such systems have high-peak resonance. That’s is why to explain the resonance phenomenon in such system from the point of view it"s classic definition is not possible. In order to eliminate this discrepancy it is suggested the spectral criterion of the resonance which is connected with extremum of the free system process spectrum which is the sum of it"s own process. On the base of this criterion it is suggest the definition of the resonance phenomenon which is spread to wider class of linear stationary system with any number of freedom degrees and without any restrictions on the loss value in them.

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Keywords Resonance; normal oscillations; free process; own process extremum of the spectrum modulus round.
References 1. Папалекси Н.Д. Эволюция понятия резонанса / Н.Д. Папалекси // Успехи физических наук. – 1947. – Т. 31. – Вып. 4.
2. Харкевич А.А. Основы радиотехники. – М.: ГИЛ по вопросам связи и радио, 1963.
3. Виницкий А.С. Модулированные фильтры и следящий прием ЧМ / А.С. Виницкий. – М.: Сов. радио, 1969.

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