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Localization of Solutions of Ordinary Differential Equations near an Unstable Singular Pointстатья
- Авторы: Kugushev E.I., Salnikova T.V.
- Журнал: Mathematical Notes
- Том: 117
- Номер: 1
- Год издания: 2025
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 108
- Последняя страница: 113
- DOI: 10.1134/S0001434625010092
- Аннотация: A dynamical system is considered in a sufficiently small neighborhood of its nondegenerate Lyapunov unstable equilibrium position. The existence of system trajectories localized in this neighborhood is discussed. An interesting phenomenon of a general nature takes place: when a perturbation is added to the right-hand sides of the equations, the singular point may disappear, but solutions occur that do not leave a small neighborhood of the original singular point.
- Добавил в систему: Сальникова Татьяна Владимировна