@article{JG2004, abstract = {We present an example of an exact quasiperiodic localized stable solution with spatially symmetric large-amplitude oscillations in a nonintegrable Hamiltonian lattice model. The model is a one-dimensional discrete nonlinear Schrodinger equation with alternating on-site energies, modeling, e.g., an array of optical waveguides with alternating widths. The solution bifurcates from a stationary discrete gap soliton, and in a regime of large oscillations its intensity oscillates periodically between having one peak at the central site and two symmetric peaks at the neighboring sites with a dip in the middle. Such solutions, termed ``pulsons,\{''\} are found to exist in continuous families ranging arbitrarily close to both the anticontinuous and continuous limits. Furthermore, it is shown that they may be linearly stable also in a regime of large oscillations.}, author = {M Johansson and A V Gorbach}, doi = {10.1103/PhysRevE.70.057604}, issn = {1063-651X}, issue = {5, Part 2}, journal = {PHYSICAL REVIEW E}, month = {11}, title = {Quasiperiodic localized oscillating solutions in the discrete nonlinear Schrodinger equation with alternating on-site potential}, volume = {70}, year = {2004} }