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written by Junaid Alam and Muhammad Sabieh Anwar
published by the LUMS School of Science and Engineering
In this experiment, we will discover:

1. how very simple systems can exhibit complex behavior under certain conditions,
2. the richness of the mathematical and physical structure of dynamical systems,
3. how an arbitrarily small change in the input can change the long-term conduct of a dynamical system drastically,
4. how to construct and interpret phase portraits and Poincare Maps for different kinds of responses of a system,
5. the mystery of Fiegenbaum constant and what makes chaos a universal underlying structure of the complexity exhibited by nonlinear dynamical systems,
6. a beautiful and artistic aspect of science in the form of attractors and fractals.
Subjects Lab Level Resource Types
Mathematical Tools
- Non-linear Equations
Modern Physics
- Chaos & Non-linear Dynamics
Oscillations & Waves
- Oscillations
= Non-Linear Systems
- Intermediate Undergraduate
- Advanced Undergraduate
- Instructional Material
= Instructor Guide/Manual
= Laboratory
= Student Guide
Material Category Formats Ratings
- Lab Manual
- application/pdf
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Advanced Labs Terms of Use Disclaimer Minimal Danger   No Safety Equipment Necessary  


Format:
application/pdf
Access Rights:
Free access
Restriction:
© 2010 LUMS School of Science and Engineering, Pakistan
Keywords:
Attractor, Chaos, Diode Recovery Time, Doubling Bifurcation, Dynamical System, Fiegenbaum Constant, Fractals, Junction Capacitance, Phase Portrait, Poincare Map, Resonance , Self-similarity, Supersensitivity
Record Creator:
Metadata instance created February 13, 2012 by Muhammad Sabieh Anwar
Record Updated:
June 3, 2012 by Lyle Barbato
Last Update
when Cataloged:
March 24, 2010
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
J. Alam and M. Anwar, (LUMS School of Science and Engineering, Pakistan, Lahore Cantt, 2010), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11716&DocID=2597).
AJP/PRST-PER
J. Alam and M. Anwar, Chaos and Non-Linear Physics, (LUMS School of Science and Engineering, Pakistan, Lahore Cantt, 2010), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11716&DocID=2597>.
APA Format
Alam, J., & Anwar, M. (2010, March 24). Chaos and Non-Linear Physics. Retrieved October 26, 2014, from LUMS School of Science and Engineering, Pakistan: http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11716&DocID=2597
Chicago Format
Alam, Junaid, and Muhammad Sabieh Anwar. Chaos and Non-Linear Physics. Lahore Cantt: LUMS School of Science and Engineering, Pakistan, March 24, 2010. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11716&DocID=2597 (accessed 26 October 2014).
MLA Format
Alam, Junaid, and Muhammad Sabieh Anwar. Chaos and Non-Linear Physics. Lahore Cantt: LUMS School of Science and Engineering, Pakistan, 2010. 24 Mar. 2010. 26 Oct. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11716&DocID=2597>.
BibTeX Export Format
@misc{ Author = "Junaid Alam and Muhammad Sabieh Anwar", Title = {Chaos and Non-Linear Physics}, Publisher = {LUMS School of Science and Engineering, Pakistan}, Volume = {2014}, Number = {26 October 2014}, Month = {March 24, 2010}, Year = {2010} }
Refer Export Format

%A Junaid Alam
%A Muhammad Sabieh Anwar
%T Chaos and Non-Linear Physics
%D March 24, 2010
%I LUMS School of Science and Engineering, Pakistan
%C Lahore Cantt
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11716&DocID=2597
%O application/pdf

EndNote Export Format

%0 Electronic Source
%A Alam, Junaid
%A Anwar, Muhammad Sabieh
%D March 24, 2010
%T Chaos and Non-Linear Physics
%I LUMS School of Science and Engineering, Pakistan
%V 2014
%N 26 October 2014
%8 March 24, 2010
%9 application/pdf
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11716&DocID=2597


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The AIP Style presented is based on information from the AIP Style Manual.

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