Slow Time-periodic solutions of the cubic-quinitic Ginzburg-Landau equation |
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| Authors: | Boling Guo Zhujiong Jing Bainian Lu |
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| Affiliation: | aCenter for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;aInstitute of Mathematics, Academia Sinica., Beijing 100080, China;bDepartment of Mathematics, Shaanxi Normal University, Xi'an710062, Shaanxi, China;cLaboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, USA |
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| Abstract: | In this paper, the Ginzburg-Landau equation with small complex coefficients is considered. A translation is introduced to transform the Ginzburg-Landau equation into a dynamical system. Moreover, the existence and the properties of the equilibria are discussed. The spatial quasiperiodic solutions disappear due to the perturbation are proved. Finally, several types of heteroclinic orbits are proposed and numerical analysis are provided. |
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| Keywords: | Cubic-quitic Ginzburg-Landan equation Dynamical behavior |
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