𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Connecting orbits in perturbed systems

✍ Scribed by Fritz Colonius; Thorsten Hüls; Martin Rasmussen


Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
571 KB
Volume
59
Category
Article
ISSN
0924-090X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Ideal Systems and Connecting Orbits
✍ Shu-xiang Yu; Zuo-huan Zheng; Fan-nu Hu 📂 Article 📅 2004 🏛 Institute of Applied Mathematics, Chinese Academy 🌐 English ⚖ 142 KB
On manifolds of connecting orbits in dis
✍ Y.-K. Zou; W.-J. Beyn 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 267 KB

It is shown that one-step methods, when applied to a one-parametric dynamical system with a homoclinic orbit, exhibit a closed loop of discrete homoclinic orbits. On this loop, the parameter varies periodically while the orbit shifts its index after one revolution. We show that at least two homoclin