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 ...

Power system stability and security assessment is a critical field that ensures modern electrical grids operate reliably amid increasing demands, renewable integration and evolving cyber threats. This ...

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 ...

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 ...