👉 Stability math is a branch of mathematics that focuses on understanding and predicting the behavior of complex systems over time, particularly those that exhibit stability or instability. It involves analyzing how small changes in initial conditions or parameters affect the long-term behavior of these systems, often using tools like differential equations, dynamical systems theory, and Lyapunov functions. Stability analysis helps determine whether a system will return to equilibrium after a disturbance (stable) or diverge away from it (unstable). This is crucial in fields like physics, engineering, economics, and biology, where predicting the resilience or fragility of systems is essential for design, control, and decision-making.
