A stable fixed point is a value in a dynamical system where the system tends to return to that value after small perturbations. When the system is at this fixed point, any small changes will result in the system evolving back toward the fixed point, indicating stability. This concept is crucial in understanding system behavior during transitions, including how systems may bifurcate, how they can be illustrated through cobweb plots, and how they can be controlled in chaotic scenarios.
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