TITLE

Localized error bursts in estimating the state of spatiotemporal chaos

AUTHOR(S)

Seung-Jong Baek; Hunt, Brian R.; Szunyogh, Istvan; Zimin, Aleksey; Ott, Edward

PUB. DATE

December 2004

SOURCE

Chaos;Dec2004, Vol. 14 Issue 4, p1042

SOURCE TYPE

Academic Journal

DOC. TYPE

Article

ABSTRACT

We consider the problem of estimating the current state of an evolving spatiotemporally chaotic system from noisy observations of the system state and a model of the system dynamics. Using a simple scheme for state estimation, we show the possible occurrence of temporally and spatially intermittent large bursts in the estimation error. We discuss the similarity of these bursts with those occurring at the bubbling transition in the synchronization of low dimensional chaotic dynamical systems. We characterize the spatial and temporal behavior of the bursts and investigate how the behavior changes as we vary the number and location of the observations.

ACCESSION #

15207348

Tags: CHAOTIC behavior in systems;  SYNCHRONIZATION;  TIME measurements;  DIFFERENTIABLE dynamical systems;  NONLINEAR theories;  PHYSICAL sciences

 

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