Note: oscilloscope not included
Nonlinear dynamics and associated bifurcation chaotic phenomena have received more and more attention in scientific research over the past two decades. Chaos phenomenon is related to physics, mathematics, biology, electronics, computer science, economics and other fields with widespread applications.
Using this apparatus, the following experiments can be performed:
1. Use RLC series resonance circuit to measure the inductance of a ferrite material at different currents;
2. Observe waveforms generated by a LC oscillator on an oscilloscope before and after RC phase-shifting;
3. Observe phase figure of the above two waveforms (i.e. Lissajous figure);
4. Observe periodic variations of the phase figure by adjusting the resistor of the RC phase shifter;
5. Record phase figures of bifurcations, intermittency chaos, triple times period, attractor, and double attractors;
6. Measure V-I characteristics of a nonlinear negative resistance device made of a LF353 dual op-amp;
7. Explain the cause of chaos generation using the dynamics equation of nonlinear circuit.
|Digital voltmeter||Digital voltmeter: 4-1/2 digit, range: 0 ~ 20 V, resolution: 1 mV|
|Nonlinear element||LF353 dual Op-Amp with six resistors|
|Power supply||± 15 VDC|