Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment
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Date
2006-04
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Mark
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Společnost pro radioelektronické inženýrství
Abstract
This paper shows the circuitry implementation and practical verification of the autonomous nonlinear oscillator. Since it is described by a single third-order differential equation, its state variables can be considered as the position, velocity and acceleration and thus have direct connection to a real physical system. Moreover, for some specific configurations of internal system parameters, it can exhibit a period doubling bifurcation leading to chaos. Two different structures of the nonlinear element were verified by a comparison of numerically integrated trajectory with the oscilloscope screenshots .
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Citation
Radioengineering. 2006, vol. 15, č. 1, s. 6-12. ISSN 1210-2512
http://www.radioeng.cz/fulltexts/2006/06_01_06_12.pdf
http://www.radioeng.cz/fulltexts/2006/06_01_06_12.pdf
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Peer-reviewed
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Published version
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en