Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 8 of 8 for “"spatially extended systems"”.
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Model-based control of spatially extended systems
We extend a new method of control, model-based control, to the realm of partial differential equations. The hallmark of model-based control is that a particular goal dynamics is achieved by using a model for the observed dynamics to create the appropriate driving needed to make the goal dynamics an …
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Model-based control of spatially extended systems
… and use computer simulations to explore systems beyond analytic tractability such as the Burgers and the N avier-Stokes equations. With the Burgers equation a systematic investigation into the control behavior was conducted with particular attention to sensitivity of the control to model …
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Renormalization group methods for dynamics of spatially extended systems
… tool and concept in the study of dynamics of spatially extended systems: different microscopic dynamics may be related, via coarse graining, to the same macroscopic dynamics. This thesis makes two contributions in this direction: first, we obtain the correct description of the dynamics of a …
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Some problems in the dynamics of spatially extended systems
… some representative problems in the dynamics of systems which have a non-trivial spatial dependence. In the first chapter, we study the perturbed sine-Gordon equation and the ""Painleve test of integrability."" We present results of our numerical studies of the d.c. driven, damped sine-Gordon …
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Dynamical systems approach to one-dimensional spatiotemporal chaos -- A cyclist's view
We propose a dynamical systems approach to the study of weak turbulence(spatiotemporal chaos) based on the periodic orbit theory, emphasizing the role of recurrent patterns and coherent structures. After a brief review of the periodic orbit theory and its application to low-dimensional dynamics, we …
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Stochastic dynamics in spatially extended physical and biological systems
… three different problems of stochastic nature in spatially extended systems: (1) a noise induced mechanism for the emergence of biological homochirality in early life self-replicators, (2) the amplification effect of nonnormality on stochastic Turing patterns in reaction diffusion systems, and (3) …
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Spatio-temporal dynamics before population collapse
… approach of catastrophic thresholds in natural systems may result in an increasingly slow recovery from small perturbations, a phenomenon called critical slowing down. In this thesis, we used replicate laboratory populations of the budding yeast Saccharomyces cerevisiae for direct observation of …
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A study of the effects of spatially localized time-delayed feedback schemes on spatio-temporal patterns
… attempts to control spatio-temporal chaos, spatially extended systems were subjected to protocols that perturbed them as a whole, often overlooking the potential stabilizing interaction between adjacent regions. We have shown that through the application of a time-delayed feedback scheme to …