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

For citation:

Volkovskij A. R. Chaotic relaxation oscillator. Izvestiya VUZ. Applied Nonlinear Dynamics, 1994, vol. 2, iss. 2, pp. 49-56. DOI: 10.18500/0869-6632-1994-2-2-49-56

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
621.373.132
DOI: 
10.18500/0869-6632-1994-2-2-49-56

Chaotic relaxation oscillator

Autors: 
Volkovskij Aleksandr Rostislavovich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

The autonomous chaotic relaxation oscillator which is well-known blocking oscillator with one additional capacitor is investigated. It was studied experimentally that oscillator possesses chaotic dynamics in wide parameter region. Transition to chaos is realised through intermittence. Bifurcation diagram was plotted experimentally on parameter plane. Mathematical model was obtained in the form of 1-D map for time intervals between two neighbour pulses. Numerical simulation of mathematical model shows that bifurcation structure of its parameter space is quite similar to experimental results.

Key words: 
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Acknowledgments: 
The author expresses gratitude to Nikolai Fedorovich Rulkov for useful comments. The work was carried out with financial support from the Russian Foundation for Basic Research (project 9302-15424).
Reference: 
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Received: 
17.01.1994
Accepted: 
22.03.1994
Published: 
08.08.1994
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