Double Pendulum Chaotic Acrobatics

Bar-and-ring double pendulum oscillates in a surprising way that defies intuition. The pendulum is a damped mechanical oscillator whose energy dissipates continuously after it is set in motion. When displacements from equilibrium are small, the pendulum executes simple harmonic motion (normal mode). However, when large displacements are imposed, the non-linear system becomes dramatically chaotic in its motion and demonstrates that deterministic systems are not necessarily predictable. Chapters: 00:08 Single pendulum system, normal mode with frequency of 0.8 Hz 00:39 Coupled pendulum exchanging energy at approximately 0.6 Hz 00:54 Double pendulum with counterweight, normal mode at 0.5 Hz 01:36 Larger amplitude 01:57 Chaotic motion with light torque applied 02:24 Chaotic motion with moderate torque 03:16 Chaotic motion with greater torque "The extreme sensitivity of future behavior to small differences at early times is a characteristic of chaotic systems. This extreme sensitivity also affects predictions. Even if the theoretical model is perfect in every detail, the future behavior of a chaotic system is unpredictable because the starting conditions for the model can never be 100% accurate. For example, the chaotic nature of weather makes accurate long-term forecast impossible. To predict the future weather, the current conditions are used as input. Any small difference between the true current conditions and those used as input will grow to huge errors in the forecast later on." University of Florida, Department of Physics. Check out other double pendulums chaotic motion in action: https://studio.youtube.com/playlist/PLCbYhDNjOviGJsGRhEkraWRH8Yh0WNxu2/videos Check out a collection of double pendulums that display chaotic motion: https://www.youtube.com/playlist?list=PLCbYhDNjOviGvNl8wLwDKJX_1h484-wFY Music Title: By the Fireplace Artist: TrackTribe Album: By the Fireplace, Released 2020 #CoupledOscillators #beatmode #EnergyTransfer #doublependulum #CoupledOscillators #doublependulum