Title

Stability And Persistence Of Two-Dimensional Patterns

Authors

Authors

S. R. Choudhury

Comments

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Abbreviated Journal Title

Nonlinear Anal.-Theory Methods Appl.

Keywords

stability conditions for two-dimensional dissipative patterns; nonlinear; persistence, disruption, and decay of structures; numerical results, ; comparisons with simulations; Mathematics, Applied; Mathematics

Abstract

The canonical equations for evolution of the amplitude order parameters describing the nonlinear development and persistence of two-dimensional three-mode spatial patterns generated by Turing instability in dissipative systems are considered, The stability conditions for persistent hexagonal patterns are generalized, and the conditions under which patterns are either disrupted, exhibit bounded quasiperiodic or chaotic behavior, or decay under nonlinear evolution are derived. These conditions are applied to the specific three-mode amplitude evolution equations derived for the Schnackenberg model and a delay predator-prey system in Chapter 3. Numerical results are presented for the persistence, disruption and decay of patterns in these systems, including fairly detailed comparisons with simulation results for the Schnackenberg model.

Journal Title

Nonlinear Analysis-Theory Methods & Applications

Volume

30

Issue/Number

8

Publication Date

1-1-1997

Document Type

Article; Proceedings Paper

Language

English

First Page

5491

Last Page

5498

WOS Identifier

WOS:000072052900096

ISSN

0362-546X

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