EXCITABILITY, WAVE REFLECTION, AND WAVE SPLITTING IN A CUBIC AUTOCATALYSIS REACTION-DIFFUSION SYSTEM

被引：144
作者：
PETROV, V [1 ]
SCOTT, SK [1 ]
SHOWALTER, K [1 ]
机构：
[1] UNIV LEEDS, SCH CHEM, LEEDS LS2 9JT, W YORKSHIRE, ENGLAND
来源：
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1994年 / 347卷 / 1685期
关键词：
D O I：
10.1098/rsta.1994.0071
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The excitability properties of a two-variable cubic autocatalysis model for chemical oscillations are examined. The reaction-diffusion behaviour of this model is studied in a one-dimensional configuration with differing relative diffusivities of the species. Wave reflection at no-flux boundaries is examined and described in terms of reactant depletion in the wave front and reactant influx in the wave back. Waves are also reflected upon collision with other waves. Wave splitting, the spontaneous initiation of a wave from the trailing edge of another wave, is found to occur for some relative diffusivities. Successive wave splittings give rise to stationary Turing patterns at long times.
引用
收藏
页码：631 / 642
页数：12
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