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 ...

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

Stability analysis of nonlinear time-varying systems is a critical area of research that underpins many modern engineering and scientific applications. These systems, described by differential ...

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 ...

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 ...

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 ...