REACTION-DIFFUSION SYSTEM WITH BRUSSELATOR KINETICS - CONTROL OF A QUASI-PERIODIC ROUTE TO CHAOS

被引：23

作者：

CHAKRAVARTI, S ^{[1
]}

MAREK, M ^{[1
]}

RAY, WH ^{[1
]}

机构：

[1] PRAGUE INST CHEM TECHNOL, DEPT CHEM ENGN, CR-16628 PRAGUE, CZECH REPUBLIC

来源：

PHYSICAL REVIEW E | 1995年 / 52卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.52.2407

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：

A methodology for controlling complex dynamics and chaos in distributed parameter systems is discussed. The reaction-diffusion system with Brusselator kinetics, where the torus-doubling route to chaos exists in a defined range of parameter values, is used as an example. Poincare maps and singular value decomposition are used for characterization of quasiperiodic and chaotic attractors and for the: identification of dominant modes. Tested modal feedback control schemes based on identified dominant spatial modes confirm the possibility of stabilization of simple quasiperiodic trajectories in the complex quasiperiodic or chaotic spatiotemporal patterns.

引用

页码：2407 / 2423

页数：17

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