Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/xmlui/handle/100/15052
Title: Effect of discrete time observations on synchronization in Chua model and applications to data assimilation
Authors: NURUJJAMAN, M
SHIVAMURTHY, S
APTE, A
SINGLA, T
PARMANANDA, P
Issue Date: 2012
Publisher: AMER INST PHYSICS
Citation: CHAOS, 22(2)
Abstract: Data assimilation is a tool, which incorporates observations in the model to improve the forecast, and it can be thought of as a synchronization of the model with observations. This paper discusses results of numerical identical twin experiments, with observations acting as master system coupled unidirectionally to the slave system at discrete time instances. We study the effects of varying the coupling constant, the observational frequency, and the observational noise intensity on synchronization and prediction in a low dimensional chaotic system, namely, the Chua circuit model. We observe synchrony in a finite range of coupling constant when coupling the x and y variables of the Chua model, but not when coupling the z variable. This range of coupling constant decreases with increasing levels of noise in the observations. The Chua system does not show synchrony when the time gap between observations is greater than about one-seventh of the Lyapunov time. Finally, we also note that the prediction errors are much larger when noisy observations are used than when using observations without noise. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4712591]
URI: http://dx.doi.org/10.1063/1.4712591
http://dspace.library.iitb.ac.in/jspui/handle/100/15052
ISSN: 1054-1500
1089-7682
Appears in Collections:Article

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.