Normal Forms for Perturbed Keplerian Systems
✍ Scribed by Jesús Palacián
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 331 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0022-0396
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📜 SIMILAR VOLUMES
Considering qualitative behavior of a non-linear dynamical system often leads to first simplifying the differential equations or finding their normal forms. A perturbation technique for computing normal forms is presented. This technique, associated with the method of multiple scales, can be used to
In 8 , the authors used normal form theory to construct Lyapunov functions for critical nonlinear systems in normal form coordinates. In this work, the authors expand on those ideas by providing a method for constructing the associated normal form transformations that gives rise to the systematic de
## Abstract This paper presents an overview of topological, smooth, and control techniques for dynamical systems and their interrelations for the study of perturbed systems. We concentrate on spectral analysis via linearization of systems. Emphasis is placed on parameter dependent perturbed systems
In this paper, a modified approach for obtaining normal forms of non-linear dynamical systems is described. This approach provides a number of significant advantages over the existing normal form theory, and improves the associated calculations. A brief discussion concerning the application of the n