利用奇点理论中光滑映射芽的接触等价,研究状态变量和分歧参数均具有对称性的等变分歧问题,给出了状态变量具有D。对称性,分歧参数具有Z2对称性的等变分歧问题的两个识别条件.
The bifurcation problems with symmetry both on state variables and on bifurcation parameters are discussed. Two recognition conditions are given for equivariant bifurcation problems with D6 symmetry on state variables and Z2 symmetry on bifurcation parameters.