Differentiable Physics Engine

◈ LORENZ PARAMETERS

σ (sigma) 10.0

ρ (rho) 28.0

β (beta) 2.67

◈ INITIAL CONDITIONS

x₀ 0.1

y₀ 0.0

z₀ 0.0

◈ INTEGRATION

dt 0.010

TRAIL 800

SPEED 5

◈ NEURAL ODE

LR 0.0100

LOSS —

TRAIN

ERROR —

◈ DISPLAY

TRUE PHYSICS

NEURAL ODE

AUTO ROTATE

AXES

TRUE LORENZ (RK4)

vs

NEURAL ODE (MLP 3→64→64→3)

◈ PHASE SPACE

TRUE X

+0.0000

TRUE Y

+0.0000

TRUE Z

+0.0000

NEUR X

+0.0000

NEUR Y

+0.0000

NEUR Z

+0.0000

◈ LYAPUNOV

λ₁ (ESTIMATED)

~0.906

DIVERGENCE

0.0000

◈ TRAJECTORY

TIME ELAPSED

0.000 s

STEPS

0

TRUE DIST

0.000

◈ NETWORK ARCH

IN

3

→

H1

64

→

H2

64

→

OUT

3

ACTIVATION TANH

PARAMS 8,899

OPTIMIZER ADAM

◈ CONTROLS

DRAG Rotate view

SCROLL Zoom

R Reset trajectory

SPACE Pause / Resume