Applications of Centre Manifold Theory
These notes are based on a series of lectures given in the Lefschetz Center for Dynamical Systems in the Division of Applied Mathematics at Brown University during the academic year 1978-79. The purpose of the lectures was to give an introduction to the applications of centre manifold theory to diff...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1982, 1982
|
| Edition: | 1st ed. 1982 |
| Series: | Applied Mathematical Sciences
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 4.5. The Case ?1 < 0
- 4.6. More Scaling
- 4.7. Completion of the Phase Portraits
- 4.8. Remarks and Exercises
- 4.9. Quadratic Nonlinearities
- 5. Application to a Panel Flutter Problem
- 5.1. Introduction
- 5.2. Reduction to a Second Order Equation
- 5.3. Calculation of Linear Terms
- 5.4. Calculation of the Nonlinear Terms
- 6. Infinite Dimensional Problems
- 6.1. Introduction
- 6.2. Semigroup Theory
- 6.3. Centre Manifolds
- 6.4. Examples
- References