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Polynomial approximation of poincare maps for hamiltonian system
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Petit, Jean-Marc Froeschle, Claude |
| Copyright Year | 1992 |
| Description | Different methods are proposed and tested for transforming a non-linear differential system, and more particularly a Hamiltonian one, into a map without integrating the whole orbit as in the well-known Poincare return map technique. We construct piecewise polynomial maps by coarse-graining the phase-space surface of section into parallelograms and using either only values of the Poincare maps at the vertices or also the gradient information at the nearest neighbors to define a polynomial approximation within each cell. The numerical experiments are in good agreement with both the real symplectic and Poincare maps. |
| File Size | 241891 |
| Page Count | 4 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19930009971 |
| Archival Resource Key | ark:/13960/t6838qh7s |
| Language | English |
| Publisher Date | 1992-01-01 |
| Access Restriction | Open |
| Subject Keyword | Theoretical Mathematics Parallelograms Approximation Apexes Differential Equations Nonlinearity Taylor Series Polynomials Gradients Hamiltonian Functions Dynamical Systems Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
