Dynamical Systems

The practical implication is that structural stability is a local concept. It tells us whether a system is robust to small perturbations in its immediate neighborhood. It does not tell us whether the system is robust to large perturbations, to changes in its environment, or to the emergence of new variables that were not in the original model. For these questions, we need a broader concept: resilience, which includes not only structural stability but also the capacity to adapt, to reorganize, and to maintain function under perturbations that change the system's very structure.