Lorenz Attractor

About this model

This diagram represents a sophisticated system designed to simulate and analyze complex dynamics potentially akin to those found in chaotic systems or intricate feedback loops. At its core, the system employs a set of interconnected registers (denoted as "mxMachinationRegisterCell"), each performing specific computations based on inputs from other parts of the model. These computations are informed by mathematical formulas that closely resemble differential equations, indicative of a system that might be modeling phenomena such as population dynamics, economic models, or even ecological systems.

The system's foundational elements include pools labeled "X," "Y," and "z," which serve as the primary variables or state elements undergoing change through time - a setup reminiscent of the Lorenz system, a classic example of chaos theory. The sources connected to these pools inject resources at a rate modified by connections, which might represent external influences or control parameters in the simulated scenario. Furthermore, the use of registers to calculate derivatives like "dx," "dy," and "dz" suggests a numerical method is at play, possibly Euler's method, for integrating these rates of change over time, thereby updating the system's state in discrete steps. The inclusion of drains along with state connections setting conditions or modifying flows based on the system's state hints at a feedback mechanism, allowing the system's behavior to adapt or be constrained by the evolving dynamics of "X," "Y," and "z." This intricately designed setup is likely used to study sensitivity to initial conditions, bifurcations, or other phenomena characteristic of complex, dynamic systems.

"Lorenz Attractor" is a public Machinations diagram shared in the Community by Florin Creța, with 66 components.

It was created in April 2024 and last edited in July 2024.

Open the diagram in the Machinations app and press Play to watch the resources move, adjust its values to test how the system responds, or remix it to make an editable copy in My diagrams.