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 ...

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 ...

The study of Lyapunov exponents provides a fundamental framework for assessing the stability and chaotic behaviour of dynamical systems. These exponents quantify the average exponential rates of ...

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 ...