Normal Form for Systems with Linear Part <i>N</i><sub>3(<i>n</i>)</sub>

作     者：Grace Gachigua David Malonza Johana Sigey 

作者机构：Department of Mathematics Kenyatta University Nairobi Kenya Department of Mathematics Kimathi University College of Technology Nyeri Kenya Pure and Applied Mathematics (PAM) Department Jomo Kenyatta University of Agriculture and Technology Nairobi Kenya 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2012年第3卷第11期

页      面：1641-1647页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Transvectant Equivariants Box Product Stanley Decomposition 

摘      要：The concept of normal form is used to study the dynamics of non-linear systems. In this work we describe the normal form for vector fields on 3 × 3 with linear nilpotent part made up of coupled R3n Jordan blocks. We use an algorithm based on the notion of transvectants from classical invariant theory known as boosting to equivariants in determining the normal form when the Stanley decomposition for the ring of invariants is known.