# Chaos in a continuous-time Boolean network

Source: [Chaos in a continuous-time Boolean network](<https://www.sota2.com/research/paper/68fa55cb1e209131ce997457>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T13:47:46.039Z

Authors: Roderick Edwards

Published: 2019-05-09T01:55:51.000Z

## Abstract

Continuous-time systems with switch-like behaviour occur in chemical kinetics, gene regulatory networks and neural networks. Networks with hard switching, as a limiting case of smooth sigmoidal switching, retain the richest possible range of behaviors but are mathematically more tractable. The form of an underlying discrete (fractional-linear) map encodes information on existence, stability and exact periods of periodic orbits. In richly connected structures with four or more variables, aperiodic behaviour can occur. We investigate a simple 4-dimensional example with Boolean interaction terms in which a Smale horseshoe-like object reveals chaotic dynamics.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1905.03407>)

[PDF](<https://arxiv.org/pdf/1905.03407.pdf>)