Effective bifurcation analysis: a time-stepper-based approach
2002 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 15, no 2, 491-511 p.Article in journal (Refereed) Published
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, 491-511 p.
computing periodic-solutions, pattern-formation, catalytic reactions, surfaces, propagation, oxidation, platinum, visualization, boundaries, equation
IdentifiersURN: urn:nbn:se:kth:diva-21413ISI: 000174577100014OAI: oai:DiVA.org:kth-21413DiVA: diva2:340111
QC 201005252010-08-102010-08-10Bibliographically approved