ANALISYS OF MATIER-HILL NONLINEAR EQUATION SOLUTION TAKING INTO ACCOUNT RESONANCE CONTOUR OWN CURRENT
Abstract
The analysis of Matier-Hill nonlinear differential equation solutions that describe nonlinear resonator functioning in the highest zones of oscillation instability on the highest harmonicas is given. Stable and unstable solutions of this equation taking into account the resonance contour own current of the nonlin-ear parametric zone system influence on the modulation of its inductance are derived.
References
1. Cherkesova L.V. Modelirovanie nelineino-parametricheskih sistem: monogr. / L.V. Cherkesova, O.I. Podgaiko. – Novocherkassk, 2006. –244 s.
2. Cherednikov P.I. Raschet i proektirovanie parametricheskih sistem na vysshih garmonikah. / P.I. Cherednikov. – Har'kov: HPI, 1980. –98s.
3. Uitteker E.T. Kurs sovremennogo analiza. / E.T. Uitteker, D.N. Vatson. – M.: Fiz-matgiz, 1963. – 460 s.
4. Ryjik I.M. Tablicy integralov, summ, ryadov i proizvedenii. / I.M. Ryjik, I.S. Gradshtein. – M.: Nauka, 1971. – 108 s.
5. Migulin V.V. Osnovy teorii kolebanii. / V.V. Migulin. – M.: Nauka, 1988. – 392 s.
6. Yakubovich A.A. Parametricheskii rezonans v lineinyh sistemah. / A.A. Yakubovich, V.M. Starjinskii. – M.: Nauka, 1987. - 328 s.
7. Nikitin Yu.P. Parametricheskaya liniya s poligonal'no izmenyayuscheisya raspredelennoi emkost'yu / Yu.P. Nikitin, G.A. Chumakov // Elektronnoe modelirovanie. – 1992. – №1. – S.106–108.
8. Babickii V.I. Kolebaniya v sil'no nelineinyh sistemah. / V.I. Babickii, V.P. Krupenin. – M.: Nauka, 1985. –320s.
9. Andronov A.A. Teoriya kolebanii. / A.A. Andronov, A.A. Vitt, S.E. Haikin. – M.: Nauka, 1981. – 568 s.
10. Blak'er O. Analiz nelineinyh sistem. / O. Blak'er. – M.: Mir, 1969. – 400 s.
11. Bessonov L.A. Nelineinye elektricheskie cepi. / L.A. Bessonov. - M.: Vysshaya shkola, 1977. – 346 s.
Review
For citations:
CHERKESSOVA L.V. ANALISYS OF MATIER-HILL NONLINEAR EQUATION SOLUTION TAKING INTO ACCOUNT RESONANCE CONTOUR OWN CURRENT. Vestnik of Don State Technical University. 2010;10(2):161-171. (In Russ.)
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