CHARACTERIZATION AND APPLICATIONS OF LINEAR AND NONLINEAR THREEDIMENSIONAL PHASE PORTRAITS

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" CHARACTERIZATION AND APPLICATIONS OF LINEAR AND NONLINEAR THREEDIMENSIONAL PHASE PORTRAITS "

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	151395
Doc. No	:	ET23187
Main Entry	:	Paul Andrew Philippou
Title Proper	:	CHARACTERIZATION AND APPLICATIONS OF LINEAR AND NONLINEAR THREEDIMENSIONAL PHASE PORTRAITS
Note	:	This document is digital این مدرک بصورت الکترونیکی می باشد
Abstract	:	Volumetric phase portraits are mathematical primitives that describe vectorfield topology in a concise representation surrounding included critical points usinga set of coupled differential equations. Phase portraits are classified into one of sevencanonical forms depending on the phase portrait eigenvalues, and Jordan form. Inaddition, the dynamic behavior of these models is defined in terms of their indexand signature hctions. Relevant volumetric linear and nonlinear phase portraitmodels for both compressible and incompressible flow are discussed and classified,including their allowable topologies and characteristics. Volumetric phase portraitmodels are a compact descriptor of smoothly varying vector fields and are used toanalyze, compress. and reconstruct vector fields. In addition to their applicationto vector fields, linear and nonlinear volumetric phase portraits may be used ef-....-....,....-...,..tested for theQ1 PC1 bus cardBoth these projects mere sofixare des elopment efforts tonards contributing to dlfferentaspects of Roboucs and lZ1echatronics projects m the Controls and Roboucs Group..
Subject	:	Electericl tess
	:	برق
electronic file name	:	TL46423.pdf
Title and statement of responsibility and	:	CHARACTERIZATION AND APPLICATIONS OF LINEAR AND NONLINEAR THREEDIMENSIONAL PHASE PORTRAITS [Thesis]