可逆映射之積標準型

Abstract

Consider a reversible map whose homogeneous polynomials of its Taylor's expansion commute with the semisimple part of its lineal term. A nice form called product normal form F = T。A+ O (k+ 1) is derived. Hers A is the time one map of some constructed reversible vector field, which is equivariant to the linear map T. Furthermore, the vector field can be chosen to be in normal form in the sense of Elphick. Some propositions of reversible maps are also investigated.