Exploring dynamics of proteins, fireflies, pendulums and more!
This course is offered as an applied math elective in the sixth semester of the programme to the students across all majors. Nonlinear dynamics is an interdisciplinary area where systems of ordinary differential equations and time discrete maps are used as models for a wide range of time varying phenomena — predator-prey dynamics, population growth, planetary orbits, climate patterns, neuronal activity to name a few.
Topics like chaos theory, fractal geometry, bifurcations are found to be extremely stimulating and fascinating across the board. Students of mathematics, biology, physics and economics find the course interesting because of the range of applicability, and useful as it helps develop a systems level thinking while analyzing complex phenomena.
By using computational and graphical tools, meaningful solutions are constructed and visualized for problems which cannot be otherwise solved analytically.