By Mariana Haragus,Gérard Iooss
Starting with the best bifurcation difficulties bobbing up for traditional differential equations in a single- and two-dimensions, this e-book describes a number of instruments from the speculation of countless dimensional dynamical structures, permitting the reader to regard extra complex bifurcation difficulties, reminiscent of bifurcations coming up in partial differential equations. awareness is specific to the examine of neighborhood bifurcations with a spotlight upon the guts manifold aid and the conventional shape idea; equipment which have been universal over the past decades.
Through use of step by step examples and workouts, a few attainable purposes are illustrated, and make allowance the fewer known reader to exploit this aid procedure via checking a few transparent assumptions. Written through regarded specialists within the box of heart manifold and common shape idea this ebook offers a much-needed graduate point textual content on bifurcation idea, middle manifolds and general shape idea. it's going to entice graduate scholars and researchers operating in dynamical method theory.
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Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems (Universitext) by Mariana Haragus,Gérard Iooss