Persistence of lower dimensional tori of general types in Hamiltonian systems

By Yong Li, Y. Yi. 2004

59 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1986fadbd3b5c86b68b6c566063083c27ea96a32

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Jiansheng Geng
2. Y. Yi
3. Yuecai Han
4. Yong Li

In Mathematical Physics

1. Jiansheng Geng
2. Y. Yi
3. Yuecai Han
4. Yong Li

In Statistical and Nonlinear Physics

1. Jiansheng Geng
2. Y. Yi
3. Yuecai Han
4. Yong Li
5. Jiangong You
6. Michela Procesi
7. Massimiliano Berti
8. Xindong Xu

Citations in the corpus

• Degenerate Lower Dimensional Tori in Hamiltonian Systems (2006, methodology): “However, unlike the nondegenerate cases considered in [19,35], an unperturbed, persisted torus of (1.”
• Quasi-periodic solutions in a nonlinear Schrödinger equation (2007, methodology): “Based on original works of Melnikov [24], Eliasson [12], Kuksin [18], and Pöschel [25], the KAM method has been extensively developed in finite dimensions concerning the persistence of lower-dimensional tori in Hamiltonian systems (see [2,3,16,23,29,31,32] and references therein).”