Torus doubling resonances and breather stability

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Aug;78(2 Pt 2):026212. doi: 10.1103/PhysRevE.78.026212. Epub 2008 Aug 25.

Abstract

Discrete breathers that arise in doped alkali halides lead us to study two properties of these localized excitations. First, we note a bifurcation phenomenon, which we dub torus doubling, in which resonant coupling in the nonlinear modes induces a period doubling of the phase space structure. Second, we find that although two-frequency breather excitations are not in principle localized (because of phonon resonances), in practice they can survive 10;{9} times the characteristic time scale and give rise to marked physical phenomena, including the one that brought us to this study, the anomalous decay of luminescence.