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Lyapunov characteristics of oscillation, rotation, and wandering of solutions of differential systemsстатья
Информация о цитировании статьи получена из
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Статья опубликована в журнале из перечня ВАК
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 27 декабря 2018 г.
- Автор: Sergeev I.N.
- Журнал: Journal of Mathematical Sciences
- Том: 234
- Номер: 4
- Год издания: 2018
- Издательство: Plenum Publishers
- Местоположение издательства: United States
- Первая страница: 497
- Последняя страница: 522
- DOI: 10.1007/s10958-018-4025-4
- Аннотация: A number of Lyapunov exponents are defined for solutions of linear systems on the half-line.These exponents are responsible for such properties of the solutions as oscillation, rotation, and wanderingand are defined in terms of certain functionals applied to the solutions on finite intervals as a result oftwo operations: upper or lower averaging in time and minimization over all bases in the phase space. Weconsider important special cases of systems: those of a low order, autonomous systems, those associatedwith equations of an arbitrary order. We obtain a set of relation s (equalities and inequalities) between thesaid exponents, together with their refined values in special cases. It is shown that this set is complete inthe sense that it cannot be extended or strengthened by any other meaningful relation.
- Добавил в систему: Сергеев Игорь Николаевич