title: Symmetries, chirp-free points, and bistability in dispersion-managed fiber lines.
abstract: We show from an elementary symmetry analysis that, in dispersion-compensated systems for which a lossless model is valid, nonlinearity requires a chirp-free point at the center of symmetry (if such exists) of the map for any kind of unique periodic solution. We also present an example of a more-complex map when the periodic solution is not unique.
authors: S K
authors: SK
authors: Turitsyn
authors: J H
authors: JH
authors: Nijhof
authors: V K
authors: VK
authors: Mezentsev
authors: N J
authors: NJ
authors: Doran