Invariant submanifolds for systems of vector fields of constant rank

Heung Ju Ahn; Chong Kyu Han

doi:10.1007/s11425-016-5139-0

Invariant submanifolds for systems of vector fields of constant rank

Heung Ju Ahn, Chong Kyu Han

School of Undergraduate Studies

Seoul National University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1417-1426
Number of pages	10
Journal	Science China Mathematics
Volume	59
Issue number	7
DOIs	https://doi.org/10.1007/s11425-016-5139-0
State	Published - 1 Jul 2016

Bibliographical note

Publisher Copyright:
© 2016, Science China Press and Springer-Verlag Berlin Heidelberg.

Keywords

control system
invariant submanifolds
orbits
reachability
vector fields

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10.1007/s11425-016-5139-0

Cite this

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Invariant submanifolds for systems of vector fields of constant rank

Abstract

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Keywords

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