Titlebook: Elementary Stability and Bifurcation Theory; Gérard Iooss,Daniel D. Joseph Textbook 19801st edition Springer Science+Business Media New Yo

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Bifurcation of Periodic Solutions in the General Case,loses 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 . = 0 given in §VII.9 is valid for the present problem.

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Introduction,, 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 in

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