Energy dependence of the stability type of periodic orbits in a square lattice

✍ Scribed by J.A. Ellison; A.W. Sáenz; A. Nagl; J.G. Tapia-Aguilar

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 686 KB
• Volume: 106
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(97)89484-5

✦ Synopsis

We report the first numerical results of stability versus energy for short-period orbits pertaining to two nonrelativistic Hamiltonian models of channeling of charged particles in a square lattice. For both models, the orbits studied fall into two classes as regards the behavior of their Green's residue functions versus energy. The orbits in one of these classes exhibit nongeneric behavior near transition points of the relevant Poincar6 maps and those in the other class are ordinary hyperbolic at all energies investigated.