EXP_11 // The Quantum Frontier & Chaos Dynamics | Austensor | Ausdata Science
Lorenz Strange Attractor
Lorenz Strange Attractor · Butterfly Effect & Chaos Dynamics
01 / Curatorial Narrative
Inspired by Edward Lorenz’s chaos theory. A highly ordered crystal lattice collapses into an unpredictable dynamic attractor storm upon the slightest 0.00001 perturbation, visualising deterministic systems with sensitive dependence on initial conditions.
A deterministic lattice appears rigid and stable, yet the subtlest deflection (ε = 0.00001) shatters order into a turbulent strange-attractor storm. The simulation makes the butterfly effect tangible: minute initial differences generate radically divergent trajectories.
02 / Mathematical Formulation
Nonlinear differential manifold mapping 3,600 coupled particles undergoing butterfly-effect phase transitions from geometric crystal to Lorenz fractal dual-wing storm.
\frac{dx}{dt} = \sigma (y - x), \quad \frac{dy}{dt} = x (\rho - z) - y, \quad \frac{dz}{dt} = xy - \beta z
\sigma = 10, \; \rho = 28, \; \beta = \frac{8}{3} \quad [\text{Lorenz Strange Attractor System}]
|\delta \mathbf{x}(t)| \approx |\delta \mathbf{x}(0)| e^{\lambda t}, \quad \lambda_{\max} \approx 0.9056 \quad [\text{Lyapunov Exponential Divergence}]
03 / Computational Mechanics
Pipeline: GPU Point Buffer Interpolation + Real-time RK4 Differential Integrator
Complexity: 3,600 particles with individual phase-space state vectors and dynamic chaos weighting
- Real-time continuous phase integration with Lorenz differential equations
- Interactive pointer perturbation injection at ε = 0.00001 precision
- Additive blending quantum point cloud with dynamic wing-state color mapping
04 / Interaction Protocol
Hover pointer over any lattice pixel to inject ε = 0.00001 perturbation and trigger collapse; switch modes to explore butterfly orbits and full storms.
