SIMBAD references

2006MNRAS.373..280V - Mon. Not. R. Astron. Soc., 373, 280-294 (2006/November-3)

Invariant manifolds, phase correlations of chaotic orbits and the spiral structure of galaxies.


Abstract (from CDS):

In the presence of a strong m = 2 component in a rotating galaxy, the phase-space structure near corotation is shaped to a large extent by the invariant manifolds of the short-period family of unstable periodic orbits terminating at L1or L2. The main effect of these manifolds is to create robust phase correlations among a number of chaotic orbits large enough to support a spiral density wave outside corotation. The phenomenon is described theoretically by soliton-like solutions of a Sine-Gordon equation. Numerical examples are given in an N-body simulation of a barred spiral galaxy. In these examples, we demonstrate how the projection of unstable manifolds in configuration space reproduces essentially the entire observed bar-spiral pattern.

Abstract Copyright: 2006 The Authors. Journal compilation © 2006 RAS

Journal keyword(s): galaxies: kinematics and dynamics - galaxies: spiral - galaxies: structure

Simbad objects: 1

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