ChaoticNetworks

Overview

ChaoticNetworks is a Rust package designed for advanced graph modeling and simulations. This library leverages Grothendieck topologies and sheaf theory to provide a robust framework for analyzing and understanding complex networks such as Hopfield networks and chip-firing models.

Features

• Modular design and support for a range of Grothendieck Topologies.
• Integration with sheaf theory for consistency and advanced analysis.
• Flexible simulation framework for Hopfield networks and chip-firing systems.
• Rust implementation (potential for future Python bindings).
• Provides Opportunity for a range of wordplay.

Libraries

• src/graph - Contains the core graph structures and node implementations.
• src/sheaf - Manages sheaf and presheaf data, along with sheaf conditions.
• src/simulation - Simulation logic for Hopfield networks and chip-firing systems.
• src/category - Defines Category Theoeretic structure and Grothendieck topologies.

Links

• UCL Human Electrophysiology Lab: https://bushlab-ucl.github.io
• Crates.io: https://crates.io/crates/chaotic-networks
• SGA 1972: https://stacks.math.columbia.edu/tag/00WY