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 ...

Linear operators form the backbone of modern mathematical analysis and have become indispensable in characterising the behaviour of dynamical systems. At their core, these operators are functions that ...

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 ...

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 ...

The study of dynamical systems and vibro-impact mechanics encompasses the analysis of systems that undergo continuous evolution interspersed with instantaneous impacts. This field explores how ...

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 ...

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 ...