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Elementary Stability and Bifurcation Theory

Gerard Iooss and Daniel D. Joseph
Publisher: 
Springer Verlag
Publication Date: 
1997
Number of Pages: 
356
Format: 
Hardcover
Edition: 
2
Series: 
Undergraduate Texts in Mathematics
Price: 
69.95
ISBN: 
0387970681
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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 Asymptotic Solutions of Evolution Problems.- Bifurcation and Stability of Steady Solutions of Evolution Equations in One Dimension.- Imperfection Theory and Isolated Solutions Which Perturb Bifurcation.- Stability of Steady Solutions of Evolution Equations in Two Dimensions and n Dimensions. Appendices.- Bifurcation of Steady Solution in Two Dimensions and the Stability of the Bifurcating Solutions. Appendix.- Methods of Projection for General Problems of Bifurcation into Steady Solutions.- Bifurcation of Periodic Solutions from Steady Ones (Hopf Bifurcation) in Two Dimensions.- Bifurcation of Periodic Solutions in the General Case.- Subharmonic Bifurcation of Forced T-Periodic Solutions.- Bifurcation of Forced T-Periodic Solutions into Asymptotically Quasi-Periodic Solutions. Appendices.- Secondary Subharmonic and Symptotically Quasi-Periodic Bifurcation of Periodic Solutions (of Hopf's Type) in the Autonomous Case.- Stability and Bifurcation in Conservative Systems.

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