Gregory S. Duane

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The potential use of chaos synchronization techniques in data assimilation for numerical weather prediction models is explored by coupling a Lorenz three-variable system that represents " truth " to another that represents " the model. " By adding realistic " noise " to observations of the master system, an optimal value of the coupling strength was clearly(More)
The problem of data assimilation can be viewed as one of synchronizing two dynamical systems, one representing " truth " and the other representing " model " , with a unidirectional flow of information between the two. Synchronization of truth and model defines a general view of data assimilation, as machine perception, that is reminiscent of the Jung-Pauli(More)
The dynamical systems paradigm of synchronized chaos may realize the philosophical notion of " synchronicity ". Effectively unpredictable chaotic systems commonly exhibit a predictable relationship when they are coupled through only a few of many variables, a relationship that can be highly intermittent in realistic configurations, as with philosophical "(More)
Fluid flow fields in a pair of quasi-two-dimensional channel models, each of which vacillates chaotically between distinct flow regimes, synchronize if only the small-scale eddy components of the two flows are coupled. The synchronization behavior also governs the relationship between different sectors of the same continuous channel. Where there is no(More)
A condition for the synchronizability of a pair of extended systems governed by partial differential equations (PDEs), coupled through a finite set of variables, is commonly the existence of internal synchronization or internal coherence in each system separately. The condition was previously illustrated in a forced-dissipative system and is here extended(More)
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