Slow time-periodic solutions of cubic-quintic Ginzburg-Landau equation (II) ---heteroclinic orbits

摘要

The Ginzburg-Landau equation with small complex coefficients is considered. A translation is intro- duced to transform the Ginzburg-Landau equation into a dynamical system. It is proved that the spatial quasiperiodic solutions disappear due to the perturbation. Finally, several types of the heteroclinic orbits are proposed by mathemati- cal and numerical analysis.