Four-dimensional integrable Hamiltonian systems with simple singular points (topological aspects) /
The main topic of this book is the isoenergetic structure of the Liouville foliation generated by an integrable system with two degrees of freedom and the topological structure of the corresponding Poisson action of the group ${ mathbb R}2$. This is a first step towards understanding the global dyna...
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| Formato: | Libro |
| Idioma: | English Russian |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
c1998.
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| Series: | Translations of mathematical monographs,
v. 176 |
| Materias: | |
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Tabla de Contenidos:
- 1. General results of the theory of Hamiltonian systems
- 2. Linear theory and classification of singular orbits
- 3. IHVF and Poisson actions of Morse type
- 4. Center-center type singular points of PA and elliptic singular points of IHVF
- 5. Saddle-center type singular points
- 6. Saddle type singular points
- 7. Saddle-focus type singular points
- 8. Realization.