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Elementary Stability and Bifurcation Theory : Undergraduate Texts in Mathematics - Gerard Iooss

Elementary Stability and Bifurcation Theory

Undergraduate Texts in Mathematics

Hardcover Published: 30th October 1997
ISBN: 9780387970684
Number Of Pages: 324

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This substantially revised second edition teaches the bifurcation of asymptotic solutions to evolution problems governed by nonlinear differential equations. Written not just for mathematicians, it appeals to the widest audience of learners, including engineers, biologists, chemists, physicists and economists. For this reason, it uses only well-known methods of classical analysis at foundation level, while the applications and examples are specially chosen to be as varied as possible.

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
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387970684
ISBN-10: 0387970681
Series: Undergraduate Texts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 324
Published: 30th October 1997
Publisher: SPRINGER VERLAG GMBH
Country of Publication: US
Dimensions (cm): 24.33 x 16.2  x 2.11
Weight (kg): 0.67
Edition Number: 2
Edition Type: Revised