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• W2024986381 abstract "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 (Shroff and Keller 1993 SIAM J. Numer. Anal. 30 1099-120)." @default.
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• W2024986381 date "2002-02-19" @default.
• W2024986381 modified "2023-09-25" @default.
• W2024986381 title "Effective bifurcation analysis: a time-stepper-based approach" @default.
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• W2024986381 doi "https://doi.org/10.1088/0951-7715/15/2/314" @default.
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