Invariant submanifolds for systems of vector fields of constant rank

被引：1

作者：

Ahn HeungJu ^{[1
]}

Han ChongKyu ^{[2
]}

机构：

[1] Daegu Gyeongbuk Inst Sceince & Technol, Sch Undergrad Study, Daegu 42988, South Korea

[2] Seoul Natl Univ, Dept Math, Coll Nat Sci, Seoul 08826, South Korea

来源：

SCIENCE CHINA-MATHEMATICS | 2016年 / 59卷 / 07期

基金：

新加坡国家研究基金会;

关键词：

control system; vector fields; reachability; orbits; invariant submanifolds; PFAFFIAN SYSTEMS; INTEGRABILITY; THEOREM; PDE;

D O I：

10.1007/s11425-016-5139-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a system of vector fields on a smooth manifold that spans a plane field of constant rank, we present a systematic method and an algorithm to find submanifolds that are invariant under the flows of the vector fields. We present examples of partition into invariant submanifolds, which further gives partition into orbits. We use the method of generalized Frobenius theorem by means of exterior differential systems.

引用

页码：1417 / 1426

页数：10

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