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Vector fields and nilpotent lie algebras
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Grossman, Robert Grayson, Matthew |
| Copyright Year | 1987 |
| Description | 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. |
| File Size | 623597 |
| Page Count | 20 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19890017253 |
| Archival Resource Key | ark:/13960/t1fj7bw40 |
| Language | English |
| Publisher Date | 1987-01-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Theorems Approximation Derivation Vector Spaces Flow Computer Programs Algebra Algorithms Computation Theorem Proving Differential Equations Lie Groups Polynomials Rings Mathematics Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
