https://doi.org/10.1140/epjp/s13360-025-06676-4
Regular Article
Dynamics of two-dimensional structures on anisotropic dissipative systems near subcritical bifurcation
Pure Physics Laboratory, Group of Nonlinear Physics and Complex Systems, Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Cameroon
Received:
11
March
2025
Accepted:
20
July
2025
Published online:
5
August
2025
This paper analyzes the stability of plane wave in anisotropic dissipative systems near subcritical bifurcation. The two-dimensional anisotropic complex Ginzburg–Landau equation (ACGLE) with cubic and quintic nonlinearities is employed as a model, and analytical constraints are derived from the linear stability analysis of the solution. For well-defined system parameters, the corresponding state diagram dependent on the wave vector and system parameters is computed numerically, and the dynamic structures are characterized. Our analysis demonstrates that the wave vector has an influence on the system’s dynamical behavior.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
