Nonlinear modes in a quasiperiodic lattice form via symmetry-breaking pitchfork or saddle-node bifurcations below the mobility edge and via gap-soliton-like localization above it, while asymmetric potentials produce cascades of saddle-node bifurcations.
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Formation of nonlinear modes in one-dimensional quasiperiodic lattices with a mobility edge
Nonlinear modes in a quasiperiodic lattice form via symmetry-breaking pitchfork or saddle-node bifurcations below the mobility edge and via gap-soliton-like localization above it, while asymmetric potentials produce cascades of saddle-node bifurcations.