𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exponentially Small Splitting of Separatrices Under Fast Quasiperiodic Forcing

✍ Scribed by Amadeu Delshams; Vassili Gelfreich; Àngel Jorba; Tere M. Seara

Publisher
Springer
Year
1997
Tongue
English
Weight
375 KB
Volume
189
Category
Article
ISSN
0010-3616

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Melnikov method and exponentially small
Melnikov method and exponentially small splitting of separatrices
✍ V.G Gelfreich 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 996 KB

We study the splitting of separatrices for high-frequency perturbations of a planar Hamiltonian system. It is well known that in the analytic case the splitting of separatrices is exponentially small with respect to the perturbation period, 2~re, and that the constant in the exponent is related to t