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Effective bifurcation analysis: a time-stepper-based approach
2002 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 15, no 2, p. 491-511Article in journal (Refereed) Published
Abstract [en]

We introduce a numerical approach to perform the effective (coarse-scale) bifurcation analysis of solutions of dissipative evolution equations with spatially varying coefficients. The advantage of this approach is that the 'coarse model' (the averaged, effective equation) need not be explicitly constructed. The method only uses a time-integrator code for the detailed problem and judicious choices of initial data and integration times; the bifurcation computations are based on the so-called recursive projection method.

Place, publisher, year, edition, pages
2002. Vol. 15, no 2, p. 491-511
Keywords [en]
computing periodic-solutions, pattern-formation, catalytic reactions, surfaces, propagation, oxidation, platinum, visualization, boundaries, equation
Identifiers
URN: urn:nbn:se:kth:diva-21413DOI: 10.1088/0951-7715/15/2/314ISI: 000174577100014Scopus ID: 2-s2.0-0000015457OAI: oai:DiVA.org:kth-21413DiVA, id: diva2:340111
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2022-06-25Bibliographically approved

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Runborg, Olof

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