The properties of resonant perturbing forces in parametric loops

V. V. Beloglazov; Nikolay D. Biryuk

doi:10.3103/S0735272705110063

Authors

V. V. Beloglazov Voronezh State University, Russian Federation
Nikolay D. Biryuk Voronezh State University, Russian Federation

DOI:

https://doi.org/10.3103/S0735272705110063

Abstract

The paper gives critical analysis of the present-day theory of resonance of parametric circuits. A new insight in this theory is suggested. The principle of linear connection makes it possible to link the parametric loop with nonlinear ones.

References

MANDEL’SHTAM, L.I.; PAPALEKSI, N.D. About Resonant Effects of the Nth Kind: Vol. 2. In: MANDEL’SHTAM, L.I. The Full Collection of Works [in Russian]. Izd. AN SSSR, 1947, p.13-62.

GORELIK, G.S. Resonant effects in linear systems with periodically changing parameters. Zhurnal Teoreticheskoi Fiziki, v.4, n.10, p.1783-1817, 1934.

PAPALEKSI, N.D. Evolution of the “resonance” concept, in: PAPALEKSI, N.D. Collection of Works [in Russian]. Izd. AN SSSR, 1948, p.343-356.

YAKUBOVITCH, V.A.; STARZHINSKII, V.M. Linear Differential Equations with Periodic Coefficients and Their Applications [in Russian]. Moscow: Nauka, 1972.

BYLOV, B.F.; VINOGRAD, R.E.; GROBMAN, D.M.; NEMYTSKII, V.V. The Theory of Lyapunov’s Indices [in Russian]. Moscow: Nauka, 1966.