ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Egorov E. N., Koronovskii A. A. Comparison оf dynamics оf «Torus» system with smooth or piecewise-linear va-characteristics. Izvestiya VUZ. Applied Nonlinear Dynamics, 2002, vol. 10, iss. 1, pp. 104-112. DOI: 10.18500/0869-6632-2002-10-1-104-112

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
PDF icon and_2002-1-2_egorov_etal.pdf
(downloads: 0)
Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2002-10-1-104-112

Comparison оf dynamics оf «Torus» system with smooth or piecewise-linear va-characteristics

Autors: 
Egorov Evgenij Nikolaevich, Saratov State University
Koronovskii Aleksei Aleksandrovich, Saratov State University
Abstract: 

The dynamics of «Torus» generator with smooth or piecewise-linear volt-ampere characteristics is considered. It was shown that the systems at high degree of concidence of smooth and piecewise-linear volt-ampere characteristics have a qualitative similar behaviour. Incorrect choice of the smooth function leads to the essential modification of the system behaviour.

Key words: 
-
Acknowledgments: 
This work was supported by the Russian Foundation for Basic Research (grants 01-02-17392 and 02-02-16351).
Reference: 
  1. Matsumoto T, Chua LO, Tokunaga R. Chaos via torus breakdown. IEEE Trans. Circuits Syst. 1987;34(3):240-253. DOI: 10.1109/TCS.1987.1086135.
  2. Andrushkevich AV, Kipchatov AA, Krasichkov LV, Konorovsky AA. The path to chaos in a piecewise linear model of a tunnel diode generator. Izvestiya VUZ. Applied Nonlinear Dynamics. 1993;1(1-2):93-103 (in Russian).
  3. Kipchatov AA, Koronovsky AA. Subtle effects of self-similar behavior of a piecewise linear system near the bifurcation line of torus birth. Izvestiya VUZ. Applied Nonlinear Dynamics. 1997;5(2):17-23 (in Russian).
  4. Andrushkevich AV, Kipchatov AA, Krasichkov LV, Koronovsky AA. Two-parameter experimental investigation of co-existing oscillation modes in torus breakdown. Radiophys. Quantum Electron. 1995;38(11):780-785. DOI: 10.1007/BF01047078.
  5. Koronovsky AA. Multipliers of periodic solutions for a generator with a piecewise linear element. Izvestiya VUZ. Applied Nonlinear Dynamics. 1997;5(2):24-34 (in Russian).
  6. Korn G, Korn T. Mathematical Handbook for Scientists and Engineers. New York-Toronto- London: McGraw-Hill; 1961. 1130 p.
Received: 
30.07.2001
Accepted: 
20.12.2001
Available online: 
13.12.2023
Published: 
31.07.2002
  • 459 reads