Title
Amplitude equations for nonlinear evolution and possible persistence of stripe and hexagonal patterns in two nonlinear systems
Abstract
Amplitude order parameters evolution equations are derived using a multiple scales singular perturbation analysis for the nonlinear development and possible persistence of two-dimensional dissipative patterns (based on three spatial modes) in two nonlinear systems. The first system chosen is the Schnackenberg model, the intention being to compare the results to extensive simulation data obtained recently for this system. The second system considered is a predator-prey model including diffusion and delay in the interspecies interaction terms, for which spatial pattern formation in one dimension has been considered recently. The objective is both to extend the analysis to two dimensions, and to compare the results to those obtained for the Schnackenberg model.
Publication Date
12-1-1997
Publication Title
Advances in Fluid Mechanics
Volume
12
Number of Pages
93-121
Document Type
Article
Personal Identifier
scopus
Copyright Status
Unknown
Socpus ID
0031389204 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/0031389204
STARS Citation
Choudhury, S. R.; Margarella, L.; and Scanlon, J., "Amplitude equations for nonlinear evolution and possible persistence of stripe and hexagonal patterns in two nonlinear systems" (1997). Scopus Export 1990s. 3075.
https://stars.library.ucf.edu/scopus1990/3075