Article ID Journal Published Year Pages File Type
468664 Computers & Mathematics with Applications 2011 10 Pages PDF
Abstract

Three algorithms based on the bifurcation theory are proposed to compute the O(2)O(2) symmetric positive solutions to the boundary value problem of the Henon equation on the unit disk. Taking l   in the Henon equation as a bifurcation parameter, the symmetry-breaking bifurcation point on the branch of the O(2)O(2) symmetric positive solutions is found via the extended systems. Finally, other symmetric positive solutions are computed by the branch switching method based on the Lyapunov–Schmidt reduction.

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Physical Sciences and Engineering Computer Science Computer Science (General)
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