This math circle focused on exploring the dynamics of ‘1-D maps’, specifically how complex behavior can arise from simple mathematical rules. We started with a very simple and intuitive model for bacterial growth (exponential growth). Then, a more realistic ‘logistic growth’ model was developed by following a few simple premises. By exploring the model, we deduced that the logistic model exhibits monotonic growth and periodic solutions for different values of the growth rate. By further varying the growth rate, it was observed that the system shows chaotic behavior. Finally, various ways of studying chaos in such systems were presented. The circle ended with a question and answer session with the students.

Here are some highlights from the event:

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Instructors: