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, ...
Dynamical systems theory offers a robust framework for deciphering the complex behaviour inherent in both natural and engineered systems. By representing all possible states of a system within a phase ...