Dynamical Patterns in Arrays of Coupled Chemical Oscillators and Excitators

Dynamical Patterns in Arrays of Coupled Chemical Oscillators and Excitators
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耦合化学振荡器和激励器阵列中的动力学模式

DOI:
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发表时间:
1998
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影响因子:
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通讯作者:
M. Marek
M. Marek
中科院分区:
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文献类型:
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作者:
V. Votrubová;P. Hasal;L. Schreiberová;M. Marek

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通过实验和数值模拟研究了由Belousov−Zhabotinskii(BZ)反应的振荡和激发模式相互作用引起的动力学区域,这些反应在两个阵列和线性和圆形三个阵列(具有不同的内在连接布置)的相同连续搅拌釜反应器(CSTR)中通过对称被动扩散/对流质量交换耦合。单个CSTR之间的耦合强度和BZ反应混合物的兴奋性阈值系统地变化。点火数(向量)用于分类观察到的振荡-兴奋模式。在实验中研究的所有CSTR阵列中检测到从0到1的点火数的全谱。阵中振子和激励子的数目、激励阈值、阵内耦合方式和耦合强度是影响阵放电模式的主要因素。无量纲三变量的数值模拟。
Dynamical regimes arising due to mutual interactions of oscillatory and excitatory modes of the Belousov−Zhabotinskii (BZ) reaction in a two-array and linear and circular three-arrays (with different arrangements of intrinsic connections) of identical continuous stirred tank reactors (CSTRs) coupled via symmetric passive diffusion/convection mass exchange were studied both experimentally and by numerical simulations. The coupling strength among individual CSTRs and the threshold of excitability of the BZ reaction mixture were varied systematically. Firing numbers (vectors) were used for classification of observed oscillatory−excitatory modes. Full spectra of firing numbers ranging from 0 to 1 were detected in all CSTR arrays investigated in experiments. The numbers of oscillators and excitators, threshold of excitability, and the way of coupling and coupling strengths within the array are principal factors affecting firing patterns of the array. Numerical simulations with the dimensionless three-variable ...