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Physics · Nonlinear Dynamics · Chaos

Pendulum & chaos.

System

Parameters

Length L (m) 1.00 Length L₂ (m) 1.00 Mass m (kg) 1.00 Gravity g (m/s²) 9.81 Initial angle θ₀ (°) 120 Damping (1/s) 0.00 Drive amplitude 1.20 Drive frequency 0.67

Live state

θ (rad)—

ω (rad/s)—

Total E (J)—

T (small-angle)—

T (exact, K/AGM)—

Large-angle error—

Lyapunov λ (1/s)—

Regime—

Phase portrait · θ vs ω

Twin separation (log) · sensitive dependence