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

Socpus ID

0031389204 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0031389204

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