Chaos in a continuous-time Boolean network

Autor:	Edwards, Roderick
Rok vydání:	2019
Předmět:	Mathematics - Dynamical Systems Quantitative Biology - Quantitative Methods 34C35 92B20 94C10
Zdroj:	Proceedings of Dynamic Systems and Applications (1999), vol. 3 (G.S. Ladde, N.G. Medhin, M. Sambandham, eds.), Dynamic Publishers, 2001
Druh dokumentu:	Working Paper
Popis:	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. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.03407 Zobrazit plný text záznamu View this record from Arxiv