𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Examples of Hamiltonian systems with transversal homoclinic orbits

✍ Scribed by V.G. Gelfreich; D.K. Sharomov

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
440 KB
Volume
197
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Homoclinic Orbits for Asymptotically Lin
Homoclinic Orbits for Asymptotically Linear Hamiltonian Systems
✍ Andrzej Szulkin; Wenming Zou πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 320 KB

We study the existence of homoclinic orbits for first order time-dependent Hamiltonian systems z Λ™=JH z (z, t), where H(z, t) depends periodically on t and H z (z, t) is asymptotically linear in z as |z| Q .. We also consider an asymptotically linear SchrΓΆdinger equation in R N .

Even homoclinic orbits for super quadrat
Even homoclinic orbits for super quadratic Hamiltonian systems
✍ Jian Ding; Junxiang Xu; Fubao Zhang πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 124 KB

We study the existence of even homoclinic orbits for the second-order Hamiltonian system ΓΌ+V u (t, u) = 0. Let V(t, u) = -K(t, u)+W(t, u) ∈ C 1 (RΓ—R n , R), where K is less quadratic and W is super quadratic in u at infinity. Since the system we considered is neither autonomous nor periodic, the (PS