350 rub
Journal Science Intensive Technologies №8 for 2012 г.
Article in number:
Modern approaches to modeling of dynamics of complex systems
Authors:
N.V. Zapatrina
Abstract:
Traditionally in the radio technician diagnostics of a condition of complex systems was carried out on the basis of the analysis of target signals. And it was supposed that these signals are result of interaction of some useful signal and the noise making. In result of researches of the last years it became clear that the determined dynamic systems can chaotically behave. The chaos is generated by own dynamics of nonlinear system - with its property exponential quickly to plant as much as close trajectories. Identification and the analysis of the determined chaos - an important task at management of movements in complex systems. It is necessary to distinguish the determined chaos from usual noise or hindrances because existence of an internal order in the determined chaos allows to operate, in principle, it while the noise chaos is uncontrollable. In article methods of the quantitative analysis of chaotic fluctuations which can be used for creation of mathematical models of complex systems for the purpose of identification of their condition and nature of movement of these systems are considered.
Pages: 46-52
References
  1. Хакен Г. Синергетика. М.: Мир. 1980.
  2. Лоскутов Л. Ю.,Михайлов А. С. Введение в синергетику. М.: Наука. 1990.
  3. Николис Г.,Пригожин И. Самоорганизация в неравновесных системах. М.: Мир. 1979.
  4. Рабинович М.И., Трубецков Д. И. Введение в теорию колебаний и волн. М.: Наука. 1984.
  5. Хасанов М.М., Булгакова Г. Т. Нелинейные и неравновесные эффекты в реологически сложных средах. Москва-Ижевск: Институт компьютерных исследований. 2003.
  6. Федер Е. Фракталы. М.: Мир. 1991.
  7. Неймарк Ю. И., Ланда П. С. Стохастические и хаотические колебания. М.: Наука. 1987.
  8. Николис Г.,Пригожин И. Познание сложного. М.: Мир. 1990.
  9. ШустерГ. Детерминированныйхаос. М.: Мир. 1990.