Breathing spiral waves in the chlorine dioxide-iodine-malonic acid reaction-diffusion system

被引：18

作者：

Berenstein, Igal ^{[1
]}

Munuzuri, Alberto P. ^{[1
]}

Yang, Lingfa ^{[2
,3
]}

Dolnik, Milos ^{[2
,3
]}

Zhabotinsky, Anatol M. ^{[2
,3
]}

Epstein, Irving R. ^{[2
,3
]}

机构：

[1] Univ Santiago Compostela, Grp Complex Syst, E-15782 Santiago De Compostela, Spain

[2] Brandeis Univ, Dept Chem, Waltham, MA 02454 USA

[3] Brandeis Univ, Volen Ctr Complex Syst, Waltham, MA 02454 USA

来源：

PHYSICAL REVIEW E | 2008年 / 78卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevE.78.025101

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Breathing spiral waves are observed in the oscillatory chlorine dioxide-iodine-malonic acid reaction-diffusion system. The breathing develops within established patterns of multiple spiral waves after the concentration of polyvinyl alcohol in the feeding chamber of a continuously fed, unstirred reactor is increased. The breathing period is determined by the period of bulk oscillations in the feeding chamber. Similar behavior is obtained in the Lengyel-Epstein model of this system, where small amplitude parametric forcing of spiral waves near the spiral wave frequency leads to the formation of breathing spiral waves in which the period of breathing is equal to the period of forcing.

引用

页数：3

共 17 条

[1] Spatial periodic perturbation of Turing pattern development using a striped mask [J].