For citation:
Volkovskij A. R. Chaotic relaxation oscillator. Izvestiya VUZ. Applied Nonlinear Dynamics, 1994, vol. 2, iss. 2, pp. 49-56.
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Russian
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Article
UDC:
621.373.132
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.
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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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- Bernhardt PA. The autonomous chaotic relaxation oscillator: an electrical analogue to the dripping faucet. Physica D. 1991;52(2-3):489-527. DOI: 10.1016/0167-2789(91)90141-U.
- Rul’kov NF, Volkovskii АК. Threshold synchronization of chaotic relaxation oscillations. Phys. Lett. A. 1993;179(4-5):332-336. DOI: 10.1016/0375-9601(93)90687-U.
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Received:
17.01.1994
Accepted:
22.03.1994
Published:
08.08.1994
Journal issue:
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