Poster presentation of the final project.
Measurement of parasitic characteristics.
Impedance vs frequency curve of resistor, inductor, and capacitor.
Circuit diagrams of Chua's circuit, Chua diode, and coupled two Chua's circuits.
(a) Chua's circuit. (b) Chua diode. (c) : The schematic of x-coupled bidirectional
synchronization of two Chua’s circuits.
Hopf Bifurcation of system of Chua’s circuit (Top: Experiment, Bottom: LTspice simulation)
Synchronization of two Chua’s circuits (Top: Experiment, Bottom: LTspice simulation)
Lecturer: Prof. Yun Daniel Park
Colleagues: Jaewon Jung*, Jinsoo Kim, Kyeonghyun Lee, Juwon Choi, and Landon Campbell (exchange student from University of Virginia)
Contributions: J. Jung automated and conducted measurements. J. Jung and K. Lee developed LTspice simulation for circuits. J. Kim, J. Choi, and J. Jung worked on breadboards. L. Campbell revised the report.
Intermediate Physics Laboratory 2 Fall Semester 2023
Characterizing passive circuit components
In this initial experiment, we aimed to gain a deeper understanding of passive circuit components by using the Digilent Analog Discovery 2 (AD2). All the measurements are automated using the custom-built python module. We conducted three experiments, two with DC circuits and one with an AC circuit. The experiments involved measuring the resistance of components, determining the time constant of an RC circuit, and analyzing the frequency response of an RL and RC circuit. Using the AD2 allowed us to automate data collection and perform detailed measurements. We observed strong agreement between theoretical predictions and experimental results, though some inconsistencies were noted due to large confidence intervals. Overall, this module enabled us to build a solid understanding of basic circuit elements and their behaviors in various conditions.
Demonstrating a Chaotic Response of Chua’s Circuit and its synchronization using the bidirectional method*
In this final project, we moved on to constructing and analyzing Chua’s circuit, a chaotic electronic circuit known for its bifurcation behavior and chaotic attractors. We built Chua’s circuit using a Chua diode, capacitors, a gyrator (which behaves like an ideal inductor), and other passive components. The experiment focused on two key objectives: observing chaotic behavior through bifurcation and demonstrating synchronization between two Chua’s circuits. By adjusting the resistance of a potentiometer, we observed transitions from one-lobe attractors to double-scroll attractors, which are hallmark features of chaotic systems. Additionally, we connected two Chua’s circuits via a synchronization resistor and successfully demonstrated both synchronization and unsynchronization behaviors. Despite some challenges in achieving perfect synchronization, the experiment provided valuable insights into chaotic systems and the interaction between coupled circuits.