A new transvectant algorithm for nilpotent normal forms

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:238

Article

Murdock, James ; Sanders, Jan A.

关键词: normal form;    dynamical systems;    invariant theory;    sl(2) representation;    transvectant;    nilpotent linear part;    tensor products of representations;   

DOI  :  10.1016/j.jde.2007.03.016

来源: Elsevier

【 摘 要 】

We offer an algorithm to determine the form of the normal form for a vector field with a nilpotent linear part, when the form of the normal form is known for each Jordan block of the linear part taken separately. The algorithm is based on the notion of transvectant, from classical invariant theory. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free