The Butterfly Effect in Action: Two identical pendulums starting with a 0.1% difference in initial angle
will diverge dramatically over time, demonstrating sensitive dependence on initial conditions - a hallmark of chaotic systems.
Lagrangian Mechanics: L = T - V | T = ½m₁v₁² + ½m₂v₂² | V = -m₁gy₁ - m₂gy₂