Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1999-02-03
Prog. Theor. Phys. Supl. 139 (2000) 234
Nonlinear Sciences
Chaotic Dynamics
Title slightly modified; changes in the abstract, introduction and last section; one figure added. This version is more compre
Scientific paper
10.1143/PTPS.139.234
We propose a generic mechanism for the formation of narrow rings in rotating systems. For this purpose we use a system of discs rotating about a common center lying well outside the discs. A discussion of this system shows that narrow rings occur, if we assume non-interacting particles. A saddle-center bifurcation is responsible for the relevant appearance of elliptic regions in phase space, that will generally assume ring shapes in the synodic frame, which will suffer a precession in the sidereal frame. Finally we discuss possible applications of this mechanism and find that it may be relevant for planetary rings as well as for semi-classical considerations.
Benet Luis
Seligman Thomas H.
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