Volume 11, Issue Supplement 1, October 2004, Pages 122 - 129
The Classification of the Bifurcations Emerging in the case of an Integrable Hamiltonian System with Two Degrees of Freedom when an Isoenergetic Surface is Non-Compact
Available Online 1 October 2004.
- https://doi.org/10.2991/jnmp.2004.11.s1.16How to use a DOI?
- On a symplectical manifold M4 consider a Hamiltonian system with two degrees of freedom, integrable with the help of an additional integral f. According to the welknown Liouville theorem, non-singular level surfaces of the integrals H and f can be represented as unions of tori, cylinders and planes. The classification of bifurcations of the compact level surfaces was given by Professor A. Fomenko and his school. This paper generalizes this result to the non-compact surfaces.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - Galina Goujvina PY - 2004 DA - 2004/10 TI - The Classification of the Bifurcations Emerging in the case of an Integrable Hamiltonian System with Two Degrees of Freedom when an Isoenergetic Surface is Non-Compact JO - Journal of Nonlinear Mathematical Physics SP - 122 EP - 129 VL - 11 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2004.11.s1.16 DO - https://doi.org/10.2991/jnmp.2004.11.s1.16 ID - Goujvina2004 ER -