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Conservation laws and Hamilton's equations for systems with long-range interaction and memoryстатья
Информация о цитировании статьи получена из
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
- Авторы: Tarasov Vasily E., Zaslavsky George M.
- Журнал: Communications in Nonlinear Science and Numerical Simulation
- Том: 13
- Номер: 9
- Год издания: 2008
- Издательство: Elsevier BV
- Местоположение издательства: Netherlands
- Первая страница: 1860
- Последняя страница: 1878
- DOI: 10.1016/j.cnsns.2007.05.017
- Аннотация: Using the fact that extremum of variation of generalized action can lead to the fractional dynamics in the case of systems with long-range interaction and long-term memory function, we consider two different applications of the action principle: generalized Noether's theorem and Hamiltonian type equations. In the first case, we derive conservation laws in the form of continuity equations that consist of fractional time-space derivatives. Among applications of these results, we consider a chain of coupled oscillators with a power-wise memory function and power-wise interaction between oscillators. In the second case, we consider an example of fractional differential action l-form and find the corresponding Hamiltonian type equations from the closed condition of the form. (c) 2007 Elsevier B.V. All rights reserved.
- Добавил в систему: Тарасов Василий Евгеньевич