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A Differential Equations Approach to Hamiltonian Systems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Fesser, Dirk Saller, Dirk Seiler, Werner M. |
| Copyright Year | 2002 |
| Abstract | We present an intrinsic definition of a (possibly time-dependent) Hamiltonian differential equation as a submanifold of the first-order jet bundle over a fibred cosymplectic manifold. The equivalence of the standard constraint algorithm in mechanics to the completion procedure in differential equations theory is explicitly demonstrated. As an application, we study covariant classical mechanics. Finally, some problems with constraint algorithms in field theories are indicated. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.mathematik.uni-kassel.de/~seiler/Papers/PDF/HamEqs.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Autonomous system (Internet) Classical Mechanics Conferences Constraint algorithm First-order predicate Geometric mechanics Hamiltonian (quantum mechanics) Manifold alignment Marco Dorigo Ninety Nine Numerous Statistical manifold Symplectic integrator Theory Turing completeness Williams Syndrome |
| Content Type | Text |
| Resource Type | Article |
