Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Two classes of time-periodic systems of ordinary differential equations with a small parameter ε ≥ 0, those with “fast” and “slow” time, are studied. The corresponding conservative unperturbed systems (Formula presented.) have 1 to 3n singular points. The following results are obtained in explicit form: (1) conditions on perturbations independent of the parameter under which the initial systems have a certain number of invariant surfaces of dimension n + 1 homeomorphic to the torus for all sufficiently small parameter values; (2) formulas for these surfaces and their asymptotic expansions; (3) a description of families of systems with six invariant surfaces.
Язык оригинала | английский |
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Страницы (с-по) | 244-258 |
Журнал | Vestnik St. Petersburg University: Mathematics |
Том | 52 |
Номер выпуска | 3 |
DOI | |
Состояние | Опубликовано - 1 июл 2019 |
ID: 46240495