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  • 标题:Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators
  • 本地全文:下载
  • 作者:Gerold Baier ; Sven Sahle
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:1997
  • 卷号:1
  • 期号:2
  • 页码:161-167
  • DOI:10.1155/S1026022697000162
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    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.

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