|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'503'724
Articles rated: 2609
24 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Classical Mechanical Systems with one-and-a-half Degrees of Freedom and Vlasov Kinetic Equation | | Maxim V. Pavlov
; Sergey P. Tsarev
; | | Date: |
17 Jun 2013 | | Abstract: | We consider non-stationary dynamical systems with one-and-a-half degrees of
freedom. We are interested in algorithmic construction of rich classes of
Hamilton’s equations with the Hamiltonian H=p^2/2+V(x,t) which are Liouville
integrable. For this purpose we use the method of hydrodynamic reductions of
the corresponding one-dimensional Vlasov kinetic equation.
Also we present several examples of such systems with first integrals with
non-polynomial dependencies w.r.t. to momentum.
The constructed in this paper classes of potential functions {$V(x,t)$} which
give integrable systems with one-and-a-half degrees of freedom are
parameterized by arbitrary number of constants. | | Source: | arXiv, 1306.3737 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER