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Analytical Solution to Normal Forms of Hamiltonian Systems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Allahem, Ali |
| Copyright Year | 2017 |
| Abstract | The idea of the normalisation of the Hamiltonian system is to simplify the system by transforming Hamiltonian canonically to an easy system. It is under symplectic conditions that the Hamiltonian is preserved under a specific transformation—the so-called Lie transformation. In this review, we will show how to compute the normal form for the Hamiltonian, including computing the general function analytically. A clear example has been studied to illustrate the normal form theory, which can be used as a guide for arbitrary problems. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.mdpi.com/2297-8747/22/3/37/pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Biologic Preservation Computation (action) Database normalization Generalization (Psychology) Hamiltonian (quantum mechanics) Linear approximation Order of approximation Polynomial Quadratic function Symplectic integrator |
| Content Type | Text |
| Resource Type | Article |
