Bifurcation Diagram

A bifurcation diagram is a visual representation that shows how a system's behavior changes as a particular parameter is varied. Imagine you're adjusting the volume on a stereo: at low levels, the sound is calm, but as you increase the volume, you may suddenly experience loud bursts of noise. In a bifurcation diagram, the x-axis usually represents the changing parameter (like volume), while the y-axis shows the different states or outcomes of the system. This helps us understand at what points small changes can lead to significant shifts in behavior, revealing stability and chaos in complex systems.