In its most general form bifurcation theory is a theory of equilibrium solutions of nonlinear equations. By equilibrium solutions we mean, for example, steady solutions, time-periodic solutions, and quasi-periodic solutions. The purpose of this book is to teach the theory of bifurcation of equilibrium solutions of evolution problems governed by nonlinear differential equations. We have written this book for the broadest audience of potentially interested learners: engineers, biologists, chemists, physicists, mathematicians, economists, and others whose work involves understanding equilibrium solutions of nonlinear differential equations.
KeywordsEquilibrium Solution Nonlinear Differential Equation Steady Solution Nonlinear Ordinary Differential Equation Power Series Solution
Unable to display preview. Download preview PDF.