Elementary stability and bifurcation theory
β Scribed by Gerard Iooss, Daniel D. Joseph
- Book ID
- 127429145
- Publisher
- Springer-Verlag
- Year
- 1990
- Tongue
- English
- Weight
- 2 MB
- Series
- Undergraduate texts in mathematics
- Edition
- 2nd ed
- Category
- Library
- City
- New York
- ISBN-13
- 9780387966755
No coin nor oath required. For personal study only.
β¦ Synopsis
This second edition has been substantially revised. Its purpose is to teach the theory of bifurcation of asymptotic solutions of evolution problems governed by nonlinear differential equations. It is written not only for mathematicians, but for the broadest audience of potentially interested learners, including engineers, biologists, chemists, physicists and economists. For this reason, it uses only well-known methods of classical analysis at a foundation level. Applications and examples are stressed throughout, and these were chosen to be as varied as possible.
π SIMILAR VOLUMES
A unified approach to analysis of impact oscillations is proposed. Its mathematical essence is the continuous representation of the impulsive motion in some auxiliary variables. As a result an explicit formula for the fundamental matrix is obtained, which allows one to construct the characteristic e