Torus doubling resonances and breather stability.
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.
Physics Department, Clarkson University, Potsdam, New York 13699-5820, USA. schulman@clarkson.edu
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