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Vector fields and nilpotent Lie algebras

Author
Grossman, Robert
Published
JAN 1, 1987.
Physical Description
1 electronic document
Additional Creators
Grayson, Matthew
Online Version

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Unclassified, Unlimited, Publicly available.
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Summary
An infinite-dimensional family of flows E is described with the property that the associated dynamical system: x(t) = E(x(t)), where x(0) is a member of the set R to the Nth power, is explicitly integrable in closed form. These flows E are of the form E = E1 + E2, where E1 and E2 are the generators of a nilpotent Lie algebra, which is either free, or satisfies some relations at a point. These flows can then be used to approximate the flows of more general types of dynamical systems.
Other Subject(s)
Collection
NASA Technical Reports Server (NTRS) Collection.
Note
Document ID: 19890017253.
Accession ID: 89N26624.
NASA-CR-184967.
NAS 1.26:184967.
Terms of Use and Reproduction
No Copyright.
View MARC record | catkey: 15689548