For citation:
Sinitsky l. A., Tsvigun O. A. On quasi-periodic solutions in dissipative dynamical systems of the third order. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 6, pp. 66-71.
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Language:
Russian
Article type:
Article
UDC:
537.86
On quasi-periodic solutions in dissipative dynamical systems of the third order
Autors:
Sinitsky lev Aronovich, Saint Petersburg State University of Aerospace Instrumentation
Tsvigun Oleg Alekseevich, University of Lviv
Abstract:
Quasi-periodic solutions of the third order dissipative system are considered. Their fundamental frequencies and spectrum depend on initial conditions. Behavior of such system is similar to Hamiltonian system having two degrees of freedom. Dependence of amplitudes and frequencies of system’s parameters is considered.
Key words:
Reference:
- Lichtenberg АJ, Lieberman МA. Regular and Chaotic Dynamics. Berlin: Springer; 1992. 692 p.
- Anishchenko VS. Complex Oscillations in Simple Systems. М.: Nauka; 1990. 312 p. (in Russian).
- Dmitriev AS, Kislov VYa. Stochastic Fluctuations in Radiophysics and Electronics. М.: Nauka; 1989. 277 p.
- Belkin MK, Kravchenko GI, Skorobutov YuG, Stryukov BA. Superregenerators. M.: Radio i svyaz; 1983. 248 p.
- Dvornikov AA, Utkin GМ. Autogenerators in Radio Engineering. М.: Radio i svyaz; 1991. 221 p.
- Arnold VI. Additional Chapters of the Theory of Ordinary Differential Equations. М.: Nauka; 1978. 304 p.
- Sinitskii LА, Tsvigun ОА. Quasi-harmonic oscillations and pulse generation in third-order self-oscillation systems. Electronic Modelling. 1996;4:48.
Received:
25.12.1996
Accepted:
25.03.1997
Published:
08.04.1997
Journal issue:
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