@article{Yan2026, 
author = {Yu Yan and Shunqin Zhang and Xiaoling Zhang},
title = {Estimating the dimension of the attractor for the complex Ginzburg-Landau system},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {1},
pages = {463-476},
keywords = {complex Ginzburg-Landau system, attractor, dimension estimation, Lyapunov exponent},
url = {https://www.sciopen.com/article/10.3934/era.2026022},
doi = {10.3934/era.2026022},
abstract = {In this paper, the upper bound of the dimension of the global attractor associated with the four-dimensional cubic complex Ginzburg-Landau system is derived using the Lyapunov exponent method. First, by employing the Faedo-Galerkin method and energy estimation, the existence and uniqueness of solutions under the variational form of the system are established. Subsequently, a specific quantity is constructed and transformed into an inequality, from which the upper bound of the fractal dimension corresponding to the global attractor of the dynamical system is obtained.}
}