Dynamic GPU Simulator
2D Basin Map
Hover or click map to trace trajectory orbits.
Live
ℹ
Drag sliders to watch the glowing basins shift like continental plates.
Attractor Bounds: x, y ∈ [-2.5, 2.5]
Dynamical System
Forced Complex Newton Map
Damped Newton step for a cubic polynomial
z_{n+1} = z_n - δ f(z_n)/f'(z_n) + γ e^{i ω n}
f(z) = z³ + (α - 1)z - β
Parameters
α (nonlinearity)
-1.20
β (cubic offset)
1.00
δ (damping/step)
0.20
γ (forcing amplitude)
0.37
ω (frequency)
1.20
Basin Legend & Distribution
Root 1 basin
0.0%
Root 2 basin
0.0%
Root 3 basin
0.0%
Unsettled after limit
0.0%
Escape / Diverge
0.0%
Map Statistics
Resolution: 800 × 800
Total Points: 2,250,000
Render Time: 0.0 ms
Lyapunov Estimate: --
Unsettled Area: 0.0%
Bifurcation Diagram γ (forcing) vs x
γ = 0.0
γ = 2.0
Lyapunov Exponent Varying forcing (γ)
More Order
More Chaos
Sample Orbit same complex map
Complex-map orbit
Time Evolution (Point) Hover coordinate
t = 0
t = 1000