Chaos and Non-Linear Physics - PhysLab

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Chaos and Non-Linear Physics

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Student Manual

This experiment is based on Chaos theory and the nonlinear dynamics of an RLD-circuit. By employing different
data-acquisition techniques and representing them via time-series plot, phase portrait, Poincare section, spectrum density plot, and bifurcation diagram, we aim to observe the varying period of the voltage signal across the resistor. Each of these plots is an attempt to present a clear picture of bifurcation—the point where period-doubling takes place. We want to be able to distinguish higher-order periods such as 8T from chaos using these plots.

Software Code LabVIEW Data Acquisition files
Sample Results A detailed analysis of the experiment by Fatima Perwaiz and Sabieh Anwar in Spring 2019
Resistor Time Series
Diode Time Series
Phase Portraits
Frequency Spectrums
DC Offsets
Report by Hudaiba Soomro, Fall 2019
Experiment Code 2.5
Version December 31, 2019

Further Readings and References

  • Period Doubling, Fiegenbaum constant and time series prediction in an experimental chaotic RLD circuit
    Chaos, Solitons and Fractals, M. P. Hanias, Z. Avgerinos, G.S. Tombras, 40, 1050, (2009).
  • Exactly Solvable Model of a Physical System Exhibiting Universal Chaotic Behavior
    Phys. Rev. Lett., R.W. Rollins and E. R. Hunt, 49, 1295, (1982).
  • Evidence for Universal Chaotic Behavior of a Driven oscillator
    Phys. Rev. Lett., J. Testa, J Perez and C. Jefferies, 48, 714, (1982).
  • Tools for Detecting Chaos
    Enstits Dergisi 9. Cilt, 1, A.B. Ozer, E. Akin. SA Fen Bilimleri, (2005).
  • Transition to Chaos in a Simple Nonlinear Circuit Driven by a Sinusoidal Voltage Source
    IEEE Trans. Circuits Syst., CAS-30, A. Azzouz, R. Duhr and M. Hasler, 12, (1983).

Pictorial Procedure

Scope_3Scope_7SCREN016IMG_20150326_165543029
Lab 2 | Tags: chaos, non-linear
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  • Home
  • About Us
    • Overview
    • Centre for Experimental Physics Education (CEPE)
    • Physlab Team
    • Physlab Guidebook
    • Alumni
    • Open Positions
    • Muhammad Sabieh Anwar (Personal)
  • Academics
    • Lab Courses
    • Lab-I (ENGG-100/PHY-100/200)
    • Lab-II (PHY 300/500)
    • AstroLAB
    • Ibn Sahl Corner for Optics
    • Fast Optics
    • Smart Physics
    • Single Photon Quantum Mechanics Lab
    • Chasing Cosmic Ray Muons at Physlab
    • Stories
    • Physics Studio
    • Research Stories
    • Class Activities
    • Courses Taught
    • Class Demonstrations
    • PhysDiary
    • Health and Safety
    • Lab Safety
    • Workplace Organization
  • Research
    • Research Themes
    • Research Internships
    • Research Stories
    • Physics WorldCup
      • International Young Physicists’ Tournament (IYPT) 2019
      • International Young Physicists’ Tournament (IYPT) 2018
      • International Young Physicists’ Tournament (IYPT) 2016
    • Hunerkada
    • Grants
    • Theses and Reports
    • Scientific Publications
    • Invited Talks (Selected)
  • Outreach
    • Media
      • Lectures, Podcasts and Interviews
      • Videobytes
      • YouTube Channel
      • Visitors
      • Testimonials
    • The Scientific Mind Through the Eyes of a Physics Experimenter
    • National Laboratory Immersion Program
      • First Lahore 2012
      • Second Sukkur 2013
      • Third Lahore 2014
      • Fourth Lahore 2016
    • Labview Workshop 2016
    • Open house
      • 2009-2015
      • Open house 2023
    • Khwarizmi Science Society
    • Helping Pakistan’s Universities
      • National University of Technology (NUTECH) 2019
      • Pakistan Institute of Engineering and Applied Sciences
        (PIEAS) 2019 (Final Phase)
      • Pakistan Institute of Engineering and Applied Sciences
        (PIEAS) 2019 (Phase 2)
      • Pakistan Institute of Engineering and Applied Sciences
        (PIEAS) 2018 (Phase 1)
      • National University of Science & Technology 2016
      • Habib University 2014
      • Preston University 2013
      • Ghulam Ishaque Khan Institute of
        Engineering Sciences and Technology 2011
      • Institute of Space Technology 2010
    • The National STEM School
      • STEM School (2018 – 2019)
      • STEM school (2016 – 2017)
    • Abdus Salam Memorial Lecture Series
  • Facilities
    • Laboratories
    • Equipments
    • Devices & Softwares
      • PhysPlot
      • Physlogger
      • Phystrack
    • Mechanical Workshop
    • Inventory
    • 3D Printed Galleria
    • Forms
    • Equipment Howto’s
  • PhysGPT
  • Contact Us