Introduces undergraduate students to chaotic dynamical systems. Topics include smooth and discrete dynamical systems, bifurcation theory, chaotic attractors, fractals, Lyapunov exponents, ...

Dynamical systems theory provides a rigorous mathematical framework to analyse how systems evolve over time, encompassing a diverse range of phenomena from simple periodic behaviour to highly complex, ...

Cellular automata are discrete, lattice-based models in which simple local interactions give rise to intricate global behaviour. As a cornerstone of dynamical systems theory, these models have been ...

The seemingly unpredictable, and thereby uncontrollable, dynamics of living organisms have perplexed and fascinated scientists for a long time. While these dynamics can be represented by reaction ...