Twelvefold Quasiperiodic Patterns in a Nonlinear Optical System with Continuous Rotational Symmetry

摘要: Twelvefold quasiperiodic structures are observed in an autonomous optical pattern forming system with continuous rotational symmetry. These quasipatterns arise from a primary hexagonal structure. In dependence on the experimental parameters bifurcation can be sub- or supercritical. supercritical case, transition is mediated by new kind of patterns different amplitudes its fundamental modes. It proven Fourier filtering technique that exist only presence harmonics unstable