Characterizing and Computing the Stability Region of Singular Nonlinear Dynamical Systems

Explore the mathematical foundations of singular nonlinear dynamical systems through this conference presentation that examines methods for characterizing and computing stability regions. Learn advanced techniques for analyzing the behavior of dynamical systems with singular points, including theoretical frameworks for determining stability boundaries and computational approaches for mapping these regions. Discover how to identify critical parameters that influence system stability and understand the geometric properties of stability regions in phase space. Gain insights into practical applications of these methods across various fields where singular dynamical systems arise, from engineering control systems to biological models. Master the mathematical tools needed to assess system robustness and predict long-term behavior near equilibrium points in complex nonlinear systems.