Random dynamical systems

Speaker: Jeroen S.W. Lamb 
Affiliation: Imperial College London

Abstract

The study of dynamical systems, also known as Chaos theory, is considered to be one of the scientific revolutions of the 20th century. Building on insights from mathematical greats like Henri Poincaré, the theory has revealed mechanisms that cause inherent limits to predictability (chaos), as well as provide understanding of transitions between different regimes of dynamical regimes (bifurcation).

However, many of today’s topical scientific challenges concern the domain of complex systems, that are poorly modelled by low-dimensional dynamical systems (which are the ones best understood in dynamical systems theory).

An important class of alternative models for complex systems are low-dimensional dynamical systems with noise. We

present some recent results and insights from the rapidly growing field of random dynamical systems, that concerns such models, addressing the question to what extent novel theory is required and how random dynamical systems theory may lead to a better understanding of complex systems dynamics.