Rangarajan, Govindan (1996) Symplectic completion of symplectic jets Journal of Mathematical Physics, 37 (9). pp. 4514-4542. ISSN 0022-2488
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Official URL: http://link.aip.org/link/doi/10.1063/1.531640
Related URL: http://dx.doi.org/10.1063/1.531640
Abstract
In this paper, we outline a method for symplectic integration of three degree-of-freedom Hamiltonian systems. We start by representing the Hamiltonian system as a symplectic map. This map (in general) has an infinite Taylor series. In practice, we can compute only a finite number of terms in this series. This gives rise to a truncated map approximation of the original map. This truncated map is however not symplectic and can lead to wrong stability results when iterated. In this paper, following a generalization of the approach pioneered by Irwin (SSC Report No. 228, 1989), we factorize the map as a product of special maps called "jolt maps" in such a manner that symplecticity is maintained.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| Keywords: | Lie Transformation; Hamiltonian Function; Classical Mechanics; Phase Space; Lie Groups; Symmetry Groups; Mapping |
| ID Code: | 73193 |
| Deposited On: | 02 Dec 2011 08:46 |
| Last Modified: | 02 Dec 2011 08:46 |
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