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Projective And Non-Projective Systems Of First Order Nonlinear Differential Equations, Riad A. Rejoub
Projective And Non-Projective Systems Of First Order Nonlinear Differential Equations, Riad A. Rejoub
University of the Pacific Theses and Dissertations
It is well established that many physical and chemical phenomena such as those in chemical reaction kinetics, laser cavities, rotating fluids, and in plasmas and in solid state physics are governed by nonlinear differential equations whose solutions are of variable character and even may lack regularities. Such systems are usually first studied qualitatively by examining their temporal behavior near singular points of their phase portrait.
In this work we will be concerned with systems governed by the time evolution equations [see PDF for mathematical formulas]
The xi may generally be considered to be concentrations of species in a chemical …