Controlling complexity using forcing: simulations and experiments
type: Item
instance of: scholarly article
title: Controlling complexity using forcing: simulations and experiments
zbMATH Open document ID: 1073.93028
author: Jianyong Qiao
author: Sumit K. Garg
published in: Applied Mathematics and Computation
publication date: 2005-06-13T00:00:00Z
review text: The successful manipulation of nonlinear dynamics using external forcing is reported. In the case of temporal systems, a model system is simulated by ordinary differential equations. Experiments are carried out in a single anode electrochemical cell. Numerical and experimental results indicate that under the influence of external forcing, the control of complexity and a change in periodicity of the autonomous dynamics can be achieved. A natural extension of this work involves analyzing the effects of global and local forcing on complex spatio-temporal behavior. A numerical model involving partial differential equations is used for simulating the dynamics of the extended system. An electrochemical cell involving multiple anodes is used for the corresponding experiments. In simulation and in experiments, suppresion of spatio-temporal complexity is observed for the global and local methods. There are possible applications in plasma, laser devices, chemical systems and biology.
reviewed by: Victor Sharapov
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93A30
zbMATH DE Number: 2175175
zbMATH Keywords: differential equations
zbMATH Keywords: controlling complexity
zbMATH Keywords: external forcing
zbMATH Keywords: electrochemical corrosion
zbMATH Keywords: spatio-temporal behavior
zbMATH Keywords: simulation
MaRDI profile type: Publication
full work available at URL: j.amc.2004.06.035
OpenAlex ID: W2038190544
cites work: Q4003780
cites work: Controlling chaos
cites work: Optimized periodic control of chaotic systems
cites work: Strong resonances of spatially distributed oscillators: A laboratory to study patterns and defects
DOI: 10.1016/J.AMC.2004.06.035
description: scientific article; zbMATH DE number 2175175