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 ...

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 ...

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

Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...

Scientists usually use a hypergraph model to predict dynamic behaviors. But the opposite problem is interesting, too. What if researchers can observe the dynamics but don't have access to a reliable ...

A series of new papers describes how to fully characterize key dynamical systems with relatively little data.

We will not have a required textbook this semester! All the material for this course will be covered during lectures completely. But, if you are like me and would like a book for reference/addition ...

High-fidelity simulations of dynamic embedded systems can be invaluable. This follow-up to “Modeling Dynamic Systems” (August 2000) presents some techniques and algorithms you might find useful. In a ...

Rising temperatures and intensifying drought continue to worsen with the global climate crisis. According to the World Health Organization, an estimated 55 million people worldwide are affected by ...