nonlinear stability

Nonlinear stability refers to how a system responds to small disturbances when its behavior is influenced by more complex, real-world factors that aren’t simply proportional. Unlike linear systems, where small changes lead to predictable, proportional responses, nonlinear systems can behave unpredictably. Nonlinear stability means that even when the system is slightly disturbed, it tends to return to its original state or stay close to it over time, despite complex interactions. This concept helps us understand the resilience of systems like weather patterns, ecosystems, or engineering structures when facing minor disruptions.