Jacobi stability and dynamical systems analysis form a powerful framework for understanding the robustness and intricate evolution of nonlinear systems across diverse disciplines. By employing a ...

Dynamical systems and differential equations form the backbone of many modern scientific and engineering endeavours, providing a robust mathematical framework to understand how complex phenomena ...

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 ...

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

Power system dynamic simulation and stability analysis are pivotal in ensuring the reliable operation of modern electrical grids. With the increasing complexity of networks integrating conventional ...

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 ...