Bifurcation theory in discrete dynamical systems provides a rigorous framework for analysing qualitative changes in system behaviour as parameters vary. In these systems, subtle modifications of ...

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

The aim of this paper is to provide new methods concerning the study of stability radius of discrete dynamical systems in infinite-dimensional spaces. We study the stability roughness of a discrete ...

At each sampling time instant, one observes system output and action to form discrete-time rewards. The sampled input-output data are collected along the trajectory of the dynamical system in ...