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

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  • Gerold Baier
  • Sven Sahle

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.

Suggested Citation

  • Gerold Baier & Sven Sahle, 1997. "Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators," Discrete Dynamics in Nature and Society, Hindawi, vol. 1, pages 1-7, January.
    • Handle: RePEc:hin:jnddns:626791
    DOI: 10.1155/S1026022697000162
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