Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment
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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 .
Document typePeer reviewed
Document versionFinal PDF
SourceRadioengineering. 2006, vol. 15, č. 1, s. 6-12. ISSN 1210-2512
- 2006/1