Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators
type: Item
instance of: scholarly article
title: Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators
zbMATH Open document ID: 0931.92013
DOI: 10.1155/S1026022697000162
author: Gerold Baier
author: Sven Sahle
published in: Discrete Dynamics in Nature and Society
publication date: 2000-02-21T00:00:00Z
full work available at URL: https://eudml.org/doc/120142
review text: Summary: We present three examples how complex spatio-temporal patterns can be linked to hyperchaotic attractors in dynamical systems consisting of nonlinear biochemical oscillators coupled linearly with diffusion terms. The systems involved are: (a) a two-variable oscillator with two consecutive autocatalytic reactions derived from the Lotka-Volterra scheme; (b) a minimal two-variable oscillator with one first-order autocatalytic reaction; (c) a three-variable oscillator with first-order feedback lacking autocatalysis. The dynamics of a finite number of coupled biochemical oscillators may account for complex patterns in compartmentalized living systems like cells or tissue, and may be tested experimentally in coupled microreactors.
Mathematics Subject Classification ID: 92C40
Mathematics Subject Classification ID: 92C15
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 1337757
zbMATH Keywords: biochemical oscillations
zbMATH Keywords: spatio-temporal hyperchaos
zbMATH Keywords: complex patterns
zbMATH Keywords: information processing
zbMATH Keywords: Turing patterns
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1337757