The course contained 4 different modules to explore various kinds of complex system. Here I describe my work for each module.
- Cellular Automata Models: I worked on the classic Abelian Sandpile Model, its extension to infinite square grid and computing the identity element. I also looked at various methods to computationally optimise the grid stabilizations process.
- Oscillator Chains: I analyzed the coupled oscillator model as described by Kuramoto and its extension to a 2D coupled lattice.
- Coupled Map Lattice: I looked at various 1D nonlinear maps and types of coupling and the generation of different types of spatiotemporal chaos exhibited by combining these into CMLs. Also, an unsuccessful attempt at simulating boiling liquid by the use of this CML framework :(
- Complex Networks: I demonstrated various complex networks and how to use them along with a Kuramoto-like dynamical system to model how people change their own opinions!
You may look at all these works here - https://vortriz.github.io/IDC621/.