TY - CHAP
T1 - Numerical analysis of symmetric systems
AU - Ikeda, Kiyohiro
AU - Murota, Kazuo
PY - 2019/1/1
Y1 - 2019/1/1
N2 - Numerical analysis procedures for bifurcation behaviors of symmetric systems with dihedral group symmetry are presented. The branch switching at simple bifurcation points presented in Chap. 2 is extended to double bifurcation points of these systems. In the bifurcation analysis of the systems, rules of bifurcation in Chap. 9 are utilized. As useful numerical procedures for such systems, a revised scaled-corrector method and a block-diagonalization method are advanced. Chapters 7, 8, 9, and 13 lay foundations of this chapter.
AB - Numerical analysis procedures for bifurcation behaviors of symmetric systems with dihedral group symmetry are presented. The branch switching at simple bifurcation points presented in Chap. 2 is extended to double bifurcation points of these systems. In the bifurcation analysis of the systems, rules of bifurcation in Chap. 9 are utilized. As useful numerical procedures for such systems, a revised scaled-corrector method and a block-diagonalization method are advanced. Chapters 7, 8, 9, and 13 lay foundations of this chapter.
KW - Block-diagonalization
KW - Cyclic group
KW - Dihedral group
KW - Double bifurcation point
KW - Recursive bifurcation
KW - Scaled-corrector method
KW - Truss dome
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U2 - 10.1007/978-3-030-21473-9_12
DO - 10.1007/978-3-030-21473-9_12
M3 - Chapter
AN - SCOPUS:85073154612
T3 - Applied Mathematical Sciences (Switzerland)
SP - 335
EP - 360
BT - Applied Mathematical Sciences (Switzerland)
PB - Springer
ER -