Existence of good lattice points in the sense of Hlawka
β Scribed by Harald Niederreiter
- Publisher
- Springer Vienna
- Year
- 1978
- Tongue
- English
- Weight
- 607 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Extensible integration lattices have the attractive property that the number of points in the node set may be increased while retaining the existing points. It is shown here that there exist generating vectors, h; for extensible rank-1 lattices such that for n ΒΌ b; b 2 ; y points and dimensions s ΒΌ
Using Melnikov's method we are able to prove the existence of transverse homoclinic orbits and therefore the existence of a horseshoe in a special restricted three-body problem. This analysis is an alternative to the one described by Moser " "Stable and Random Motions in Dynamical Systems," Princeto