Using the finite determinacy relation with the regular sequence in the Ring Theory and the complete intersection in Analytic Geometry, the finite indeterminacy of homogeneous polynomial germs under some subgroups R1（...Using the finite determinacy relation with the regular sequence in the Ring Theory and the complete intersection in Analytic Geometry, the finite indeterminacy of homogeneous polynomial germs under some subgroups R1（r） of R in both real and complex case is proven by the homogeneity of the polynomial germs. It results in the finite determinacy of homogeneous polynomial germs needn＇t be discussed respectively.展开更多
We introduced stability of arbitrary degree number for unfordings of bifurcation problems and established the equivalence of three stabilities. Thom's transversality theory is used to character the new stability.
文摘Using the finite determinacy relation with the regular sequence in the Ring Theory and the complete intersection in Analytic Geometry, the finite indeterminacy of homogeneous polynomial germs under some subgroups R1（r） of R in both real and complex case is proven by the homogeneity of the polynomial germs. It results in the finite determinacy of homogeneous polynomial germs needn＇t be discussed respectively.
基金Supported by the National Natural Science Foundation of China(198710 74)
文摘We introduced stability of arbitrary degree number for unfordings of bifurcation problems and established the equivalence of three stabilities. Thom's transversality theory is used to character the new stability.
