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A note on the existence of multiple homoclinic orbits for a perturbed radial potential

✍ Scribed by Kazunaga Tanaka

Publisher
SP Birkhäuser Verlag Basel
Year
1994
Tongue
English
Weight
529 KB
Volume
1
Category
Article
ISSN
1021-9722

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A New Proof of the Existence of Homoclin
A New Proof of the Existence of Homoclinic Orbits for a Class of Autonomous Second Order Hamiltonian Systems in IR.N
✍ Paolo Caldiroli 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 356 KB 👁 1 views

## Abstract We consider the Hamiltonian system in IR^__N__^ given by where __V__ : IR^__N__^ rarr; IR is a smooth potential having a non degenerate local maximum at 0 and we assume that there is an open bounded neighborhood ft of 0 such that V(__x__) < __V__(0) for __x__ δ Ω / {0}, __V(x)__ = __V