Setzpfandt, FrankNeshev, DragomirSchiek, RolandPertsch, ThomasSukhorukov, AndreyKivshar, Yuri2015-12-100031-9007http://hdl.handle.net/1885/58262We study two-color parametric nonlinear modes in waveguide arrays with a quadratic nonlinear response. We predict theoretically and observe experimentally a new type of phase transition manifested in an abrupt power-controlled change of the mode structure from unstaggered to staggered, due to the interplay of localization and synchronization in parametrically driven discrete systems.Keywords: Discrete systems; Mode structure; Non-linear response; Nonlinear mode; Nonlinear waves; Two-color; Waveguide array; Waveguides; Phase transitions201010.1103/PhysRevLett.105.2339052016-02-24