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

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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: 
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  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.
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Received: 
30.07.2001
Accepted: 
20.12.2001
Available online: 
13.12.2023
Published: 
31.07.2002
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