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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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The current model of cardiac arrhythmia based on an autonomous dynamical system with a Smale - Williams hyperbolic attractorстатья
- Авторы: Белякин С.Т., Шутеев С.А.
- Журнал: Biomedical Journal of Scientific & Technical Research
- Том: 10
- Номер: 5
- Год издания: 2018
- Первая страница: 1
- Последняя страница: 8
- DOI: 10.26717/BJSTR.2018.10.002005
- Аннотация: Hyperbolic strange attractors are robust (structurally stable). This means the insensitivity of the nature of movements and the relative position of trajectories in the phase space with respect to the variation of the equations of the system. In contrast to the hyperbolic attractor, quasi-attractors are characterized by a sensitive dependence of the dynamics details on the parameters. This is obviously undesirable for potential applications of chaos, such as communication systems, signal masking, etc. Thus, from both a fundamental and applied point of view, it is interesting to implement hyperbolic chaos in physical systems. In textbooks and monographs on nonlinear dynamics, examples of hyperbolic attractors are presented by abstract constructions. For example, the Smale – Williams attractor is constructed to map a three-dimensional space into itself defined by the following procedure. Consider an area in the form of a torus, stretch it in length, fold it in half and enclose it in the original torus, as shown in the figure. Each next iteration doubles the number of" turns". An object that is obtained within a large number of iterations is called the Smale – Williams solenoid. Its transverse structure has the form of a Cantor set.
- Добавил в систему: Белякин Сергей Тихонович
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | The current model of cardiac arrhythmia based on an autonomous dynamical system with a Smale - Williams hyperbolic attractor | BJSTR.MS.ID.002005.pdf | 2,0 МБ | 7 ноября 2018 [Sergey111] |