Physics Lab Equipment

LEEI-55 Nonlinear Circuit Chaotic Experimental Apparatus

LEEI-55 Nonlinear Circuit Chaotic Experimental Apparatus

Note: oscilloscope not included

Features

  • Simple circuit for demonstrating complex phenomena

  • Comprehensive experimental content with stable results

  • Hands-on approach to nonlinear electronics




Introduction


Nonlinear dynamics and bifurcation chaotic phenomena have garnered increasing attention in scientific research over the past two decades. Chaos, a phenomenon with far-reaching implications, intersects various disciplines, including physics, mathematics, biology, electronics, computer science, and economics. This apparatus provides an accessible platform to study chaos and nonlinear behavior.

 

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.


The instruction manual contains experimental configurations, principles, step-by-step instructions, and examples of experiment results. Please click Experiment Theory and Contents to find more information about this apparatus.


Specifications

DescriptionSpecifications
Digital voltmeterDigital voltmeter: 4-1/2 digit, range: 0 ~ 20 V, resolution: 1 mV
Nonlinear elementLF353 dual Op-Amp with six resistors
Power supply± 15 VDC


Part List

DescriptionQty
Main unit1
Inductor1
Magnet1
LF353 Op-Amp2
Jumper wire11
BNC cable2
Instruction manual1

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Multi-period bifurcation

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Wiring diagram A

LEEI-55 Nonlinear Circuit Chaotic Experimental Apparatus.png

Wiring diagram B

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