Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
468664 | Computers & Mathematics with Applications | 2011 | 10 Pages |
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)
Authors
Zhao-Xiang Li, Zhong-Hua Yang, Hai-Long Zhu,