# Lorenz Strange Attractor | Austensor // EXP\_11

**URL:** <https://discourse.threejs.org/t/lorenz-strange-attractor-austensor-exp-11/95089>\
**Category:** Showcase\
**Created:** [October 7, 2026, 11:52am UTC](https://discourse.threejs.org/t/lorenz-strange-attractor-austensor-exp-11/95089 "2026-10-07T11:52:54Z")\
**Posts on this page:** 1\
**Page:** 1

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**Author:** ![Ausdata](https://yyz1.discourse-cdn.com/flex035/user_avatar/discourse.threejs.org/ausdata/32/72983_2.png) [@Ausdata](https://discourse.threejs.org/u/Ausdata)\
**Post date:** [October 7, 2026, 11:52am UTC](https://discourse.threejs.org/t/lorenz-strange-attractor-austensor-exp-11/95089/1 "2026-10-07T11:52:54Z")

</div>

EXP\_11 // The Quantum Frontier & Chaos Dynamics | Austensor | Ausdata Science

> **[Lorenz Strange Attractor | Austensor](https://www.austensor.com/page11)**
>
> Interactive 3D simulation of Edward Lorenz strange attractor and chaos theory butterfly effect on a 3,600-particle lattice.

## 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.

 ![Screenshot 2026-10-07 172114](https://canada1.discourse-cdn.com/flex035/uploads/threejs/original/3X/8/a/8a925ae5f7074c682f693823523beedd48f3ee54.jpeg)