Strange Attractors - Chaos as a Design Tool for Acoustic Metamaterials
At the end of Post 5, we left the Duffing oscillator on the threshold of chaos. We saw the period-doubling cascade in the bifurcation diagram, watched the single stable orbit split into two, then four, then dissolve into a dense fog of points. But we did not look closely at what the system is actually doing in that regime. Where does it go? What shape does its motion trace out over time? And how does that shape connect to the design of a metamaterial that suppresses vibration?