Simulation

Emergent Dynamics of Probabilistic Neurons

In this project, I created an array of 8,000 neurons, each connected to their nearest neighbours, and ran a simulation to see what emergent structures form.

Overview

What happens when you give 8,000 neurons simple, probabilistic firing rules and let them interact? This project explores the emergence of complex structures from minimal ingredients. Each neuron is connected only to its nearest neighbours, yet the collective dynamics produce rich, unexpected patterns.

Setup

  • 8,000 neurons arranged in a 2D grid
  • Each neuron connected to its nearest neighbours
  • Probabilistic firing rules govern activation
  • Simulation run over thousands of time steps
  • Emergent structures observed and analyzed

Findings

The simulation reveals that even with simple local rules and stochastic dynamics, the network self-organizes into coherent structures, including oscillating clusters, propagating waves, and stable attractor states, demonstrating the power of emergence in neural-like systems.

The code for this project can be found on Github.