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 ...

Develop a foundation of analytical mechanics and multiphysics modeling. Use individual and team exercises to build skills for a dynamic systems approach. Engineered systems increasingly must exploit ...

This is a preview. Log in through your library . Abstract We present an approach to proving structural stability and semi-stability theorems for diffeomorphisms and flows using the idea of shadowing ...

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 ...

This is a preview. Log in through your library . Abstract Hill's concept of stability is generalized and its relation to bifurcation theory is shown. A quantitative measure of stability is introduced ...