The study of diffeomorphisms in dynamical systems provides a rigorous framework for understanding smooth, invertible transformations on manifolds, which are crucial in modelling complex and chaotic ...

Infinite-dimensional systems, characterised by state spaces of infinite dimension such as those described by partial differential equations, present profound challenges and opportunities within ...

The study of dynamical systems has long provided a comprehensive framework to describe how complex systems evolve over time under deterministic rules. In recent years, the focus has shifted towards ...

Dynamical systems and ergodic theory constitute a vibrant area of mathematical research that encompasses the study of systems evolving over time, whether these systems originate from physical ...

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 ...

In an era of increasing penetration of renewable energy and enhanced complexity in electrical networks, dynamic load modelling has emerged as a crucial research area. This approach involves developing ...