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.

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Last Modified February 13, 2012

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