| タイトル | Hopf bifurcation in the presence of symmetry |
| 著者（英） | Golubitsky, M.; Stewart, I. |
| 著者所属（英） | Warwick Univ.|Houston Univ. |
| 発行日 | 1985-01-01 |
| 言語 | eng |
| 内容記述 | Group theory is applied to obtain generalized differential equations from the Hopf bifurcation theory on branching to periodic solutions. The conditions under which the symmetry group will admit imaginary eigenvalues are delimited. The action of the symmetry group on the circle group are explored and the Liapunov-Schmidt reduction is used to prove the Hopf theorem in the symmetric case. The emphasis is on simplifying calculations of the stability of bifurcating branches. The resulting general theory is demonstrated in terms of O(2) acting on a plane, O(n) in n-space, and O(3) and an irreducible model for spherical harmonics. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 85A25917 |
| 権利 | Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/392653 |
