Multiple brake orbits in bounded convex symmetric domains

By Y. Long, Duanzhi Zhang, Chaofeng Zhu. 2006

101 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/51a6f8352462d899100d431edc76f12930d2cb9b

How researchers see this paper

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

In Applied Mathematics

1. Chun-gen Liu
2. Shanzhong Sun
3. Xijun Hu
4. Otto van Koert
5. Duanzhi Zhang
6. Urs Frauenfelder
7. E. Shelukhin
8. Sheila Sandon

In Geometry and Topology

1. Duanzhi Zhang
2. Chun-gen Liu
3. Otto van Koert
4. Xijun Hu
5. Shanzhong Sun
6. Urs Frauenfelder
7. Michael Usher
8. Kai Cieliebak

Citations in the corpus

• Maslov-Type Index Theory For Symplectic Paths With Lagrangian Boundary Conditions (2007, methodology): “We note that in [21] the singular set Sp(2n)0L0 and an index theory with this singular set was defined via a different method.”
• Seifert Conjecture in the Even Convex Case (2013, methodology): “By by Proposition C of [23] and Proposition 6.”
• Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Application to Figure-Eight Orbit (2009, methodology): “In our theorem, we generalize this to the general group action which also includes the brake symmetry studied in [ LZZ ].”
• The Restricted Three-Body Problem and Holomorphic Curves (2018, background): “We refer to the paper by Long, Zhang, and Zhu [80] for a modern study of brake orbits and as guide to the literature.”