Stone-Mackey-Glass-Time-simulation
Authors/Creators
Description
https://www.stonesshop.org/post/mackey-glass-chaos-simulation
Abstract
This paper presents a simulation of the Mackey-Glass time-delay differential equation to model chaotic dynamics and long-term memory dependencies within nonlinear systems. Designed as an interactive web-based tool, the simulation enables real-time parameter manipulation and visualization, providing an accessible method for exploring how feedback delay and nonlinearity shape system behavior. The resulting time series illustrates hallmark features of chaos—irregular oscillations and sensitivity to initial conditions—which are vital for benchmarking artificial intelligence systems, especially those focused on memory and sequence prediction. This simulation supports both educational and research applications, bridging theoretical modeling with computational insight.
Stone-Mackey-Glass Simulation – Quick Guide
Purpose:
Visualize chaotic behavior in delay-feedback systems; test AI memory models.
Steps:
1. Set parameters: β, γ, τ, n, x(t)
2. Set time range
3. Click Simulate
What You See:
Plot of chaotic time series x(t)
Defaults:
β=0.2, γ=0.1, τ=25, n=10, x(t)=1.2
Use Cases:
• Chaos theory demos
• AI/RNN benchmarking
• Delay system modeling
Files
Files
(38.4 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:375281a794d6500d364c49ea070812e7
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38.4 kB | Download |
Additional details
Additional titles
- Alternative title
- https://www.stonesshop.org/post/mackey-glass-chaos-simulation