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

For citation:

Andrushkevich A. V., Kipchatov A. A., Krasichkov L. V., Koronovskii A. A. Route to chaos in the piecewise-linear model of the tunnel diode oscillator. Izvestiya VUZ. Applied Nonlinear Dynamics, 1993, vol. 1, iss. 1, pp. 93-103. DOI: 10.18500/0869-6632-1993-1-1-93-103

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 1993no1-2p093.pdf
(downloads: 0)
Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
621.317.765.8
DOI: 
10.18500/0869-6632-1993-1-1-93-103

Route to chaos in the piecewise-linear model of the tunnel diode oscillator

Autors: 
Andrushkevich A. V., Saratov State University
Kipchatov A. A., Saratov State University
Krasichkov L. V., Saratov State University
Koronovskii Aleksei Aleksandrovich, Saratov State University
Abstract: 

The results of both experimental analysis and computer simulation of. the piecewise-linear analog of the oscillator with tunnel diode are presented. A perioddoubling route to chaos on the base of period adding is shown. The bifurcation diagram on the driving parameter plane (the damping parameter - the parameter of nonlinearity) of the piecewise-linear oscillator is plotted. This bifurcation diagram is qualitatively similar to bifurcation diagram of the funnel diode oscillator with the smooth nonlinear "function.

Key words: 
-
Acknowledgments: 
The work was carried out within the framework of the program "Universities of Russia".
Reference: 
  1. Pikovskii АS, Rabinovich МI. A simple autogenerator with stochastic behaviour. Sov. Phys. Doklady. 1978;239(2):301-304.
  2. Kiyashko SV, Pikovskii AS, Rabinovich МI. Radio range autogenerator with stochastic behaviour. Sov.  J. Comm. Tech. Electron. 1980;25(2):336-343.
  3. Rabinovich МI. Stochastic self-oscillations and turbulence. Sov. Phys. Usp. 1978;21(5):443-469. DOI: 10.1070/PU1978v021n05ABEH005555
  4. Pikovskii АS. On the statistical properties of the simplest model of stochastic autooscillations. Radiophys. Quantum Electron. 1980;23(7):883-884.
  5. Andrushkevich АV, Kipchatov АА. Chaos and periodicity of a tunnel-diode oscillator. Radiophys. Quantum Electron. 1990;33(4):315-317. DOI: 10.1007/BF01046974
  6. Matsumoto Т, Chua LO, Tanaka S. Simplest chaotic nonautonomous circuit. Phys. Rev. A. 1984;30(2):1155-1157. DOI: 10.1103/PhysRevA.30.1155
  7. Chua LO, Desoer C, Kuh Е. Linear and nonlinear circuits. New York: McGrow-Hill; 1987. 839 p.
Received: 
13.03.1993
Accepted: 
12.04.1993
Published: 
20.07.1993
  • 1926 reads