Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators

Gerold Baier and Sven Sahle

Discrete Dynamics in Nature and Society, 1997, vol. 1, 1-7

Abstract:

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.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:626791

DOI: 10.1155/S1026022697000162

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