Normal form construction for nearly-integrable systems with dissipation
β Scribed by Aessandra Celletti, Christoph Lhotka
- Book ID
- 111981120
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2012
- Tongue
- English
- Weight
- 794 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1560-3547
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π SIMILAR VOLUMES
We provide a simple argument that at non-resonant actions the normal form for a quasi-integrable Hamiltonian system, as defined by von Zeipel-Poicare and Lie perturbation algorithms, is unique. SOMMARIO. Si fornisce una semplice dimostrazione dell'unicita della forma normale di un sistema hamiltonia
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 For systems of differential equations of the form (__xI__ ~__n__~ β __T__ )__dy__ /__dx__ = __Ay__ (systems of Okubo normal form), where __A__ is an __n__ Γ __n__ constant matrix and __T__ is an __n__ Γ __n__ constant diagonal matrix, two kinds of operations (extension and restriction)