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Titlebook: Elementary Stability and Bifurcation Theory; Gérard Iooss,Daniel D. Joseph Textbook 1990Latest edition Springer-Verlag Berlin Heidelberg 1

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Asymptotic Solutions of Evolution Problems,sociated with the initial values, have died away. It is necessary to state more precisely what is meant by U(.), F(., µ,U), and an asymptotic solution. This statement requires some preliminary explanations and definitions.
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Bifurcation of Forced ,-Periodic Solutions into Asymptotically Quasi-Periodic Solutions,tions could bifurcate only when n = 1, 2, 3, 4. (The case n = 4 is special in that there are in general two possibilities depend­ing on the parameters; see §IX.15.) So we now confront the problem of finding out what happens for all the values of .., 0 ≤ .. < 27π/. such that ..
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Hans Mathias Kepplinger,Pablo Jostloses stability at a simple, complex-valued eigenvalue. The mathematical analysis is framed in terms of the autonomous evolution equation (VI.45) reduced to local form and the analysis of the loss of stability of the solution u = 0 given in §VII.9 is valid for the present problem.
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Textbook 1990Latest editionsteady solutions, time-periodic solutions, and quasi-periodic solutions. The purpose of this book is to teach the theory of bifurcation of asymptotic solutions of evolution problems governed by nonlinear differential equations. We have written this book for the broadest audience of potentially inter
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