Behavior of Trajectories in Localizing Sets
- Авторлар: Krishchenko A.1,2
-
Мекемелер:
- Bauman Moscow State Technical University
- Institute for Systems Analysis, Federal Research Center “Computer Science and Control,”
- Шығарылым: Том 97, № 3 (2018)
- Беттер: 243-246
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225504
- DOI: https://doi.org/10.1134/S1064562418030146
- ID: 225504
Дәйексөз келтіру
Аннотация
It is well known that simple and complex dynamics of a nonlinear system are separated by a localizing set that contains all compact invariant sets and corresponds to a function in the phase space of the system. This separation means that, in the complement of the localizing set, the trajectory behavior of the system admits a standard description in the form of several variants, while, in the localizing set, the trajectory behavior of the system can be very complex, for example, chaotic. Domains in the localizing set with a similar standard behavior are indicated, and an external estimate of the domain with complex dynamics is sequentially refined. Two examples are considered.
Авторлар туралы
A. Krishchenko
Bauman Moscow State Technical University; Institute for Systems Analysis, Federal Research Center “Computer Science and Control,”
Хат алмасуға жауапты Автор.
Email: apkri@bmstu.ru
Ресей, Moscow, 105005; Moscow, 117312