Chaos & Fractals: uses and methods
Explore parameters and structure from Lorenz attractors to Mandelbrot sets.
Applicable scope and calculation boundary
Lorenz uses adaptive integration; Mandelbrot uses finite iteration escape time. Long-term chaotic trajectories cannot be accurately predicted.
model and reference method
Lorenz (1963); complex quadratic iteration z←z²+c.
model version: 1.0.0. The results are used for scientific research, exploration and teaching, please interpret according to the model conditions.
input parameters
- object
- Lorenz attractor / Mandelbrot Fractal
- σ
- Value range: 0.1 – 50
- ρ
- Value range: 0.1 – 100
- β
- Value range: 0.1 – 20
- Points duration
- Value range: 1 – 100
How to use
- Load the example or enter data that matches the field description.
- Confirm units and models, run calculations and check diagnostics.
- Export charts, tables or results packages and record model versions.
tools in the same field
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