TRACKING UNSTABLE TURING PATTERNS THROUGH MIXED-MODE SPATIOTEMPORAL CHAOS

被引：42

作者：

PETROV, V ^{[1
]}

METENS, S ^{[1
]}

BORCKMANS, P ^{[1
]}

DEWEL, G ^{[1
]}

SHOWALTER, K ^{[1
]}

机构：

[1] FREE UNIV BRUSSELS,SERV CHIM PHYS,B-1050 BRUSSELS,BELGIUM

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 15期

关键词：

D O I：

10.1103/PhysRevLett.75.2895

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A method is presented for stabilizing and tracking unstable Turing patterns in reaction-diffusion systems. The Gray-Scott model is used to simulate a chemical system exhibiting spatiotemporal chaos arising from the interaction between Turing and Hopf bifurcations. The local behavior of the unstable pattern is first approximated with a single-input, single-output linear model constructed from a time series. A recursive control algorithm is then used to stabilize and track the unstable pattern by monitoring a single point in space and making small adjustments to a global parameter.

引用

页码：2895 / 2898

页数：4

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