HAMILTONIAN SYSTEM
| Collection | International Encyclopedia of Systems and Cybernetics |
|---|---|
| Year | 2004 |
| Vol. (num.) | 2(1) |
| ID | ◀ 1506 ▶ |
| Object type | Methodology or model |
A system whose study is amenable to Hamiltonian mechanics.
Hamiltonian systems are governed by Hamiltonian Template:Ency term i.e. in Template:Ency person's words “A Template:Ency term where there is no Template:Ency term lost through Template:Ency term” and as a result “the look of Template:Ency term is not notably modified” (1993, p.41).
Template:Ency person writes: “Hamiltonian mechanics deals only with Template:Ency term, or Template:Ency term, and describes only conservative, i.e. reversible Template:Ency term, while turbulent Template:Ency term are highly Template:Ency term and Template:Ency term, i.e. Template:Ency term; moreover classical Template:Ency term always started from systems with few interactive Template:Ency term, without a great number of Template:Ency term” (1992, p.212).
Only Template:Ency term are amenable to Hamiltonian mechanics, because in Template:Ency person words they: “admit a Template:Ency term of conservation laws, Template:Ency term their Template:Ency term very strictly”. But “as a counterpart they present rather poor Template:Ency term properties in the sense that their Template:Ency term remains strongly dependent on the Template:Ency term” (1981, p.188). In other words, they are tightly Template:Ency term. Template:Ency term, Template:Ency term systems are Template:Ency term and non-Hamiltonian. Note the correlation with Template:Ency person-'s Template:Ency term.
Now that Template:Ency term and Template:Ency term have been discovered and researched, it becomes obvious that Hamiltonian systems and Template:Ency term are rather abstract and theoretic Template:Ency term of not so common systems or very simplified ones.