| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2000 |
|
Гафаров Фаиль Мубаракович, автор
Юльметьев Ренат Музипович, автор
|
| Библиографическое описание на языке оригинала |
Renat Yulmetyev, Peter Hänggi, and Fail Gafarov. Stochastic dynamics of time correlation in complex systems with discrete time Phys. Rev. E 62(5), 6178-6194,2000 |
| Аннотация |
In this paper we present the concept of description of random processes in complex systems with discrete time. It involves the description of kinetics of discrete processes by means of the chain of finite-difference non-Markov equations for time correlation functions (TCFs). We have introduced the dynamic (time dependent) information Shannon entropy Si(t) where i=0,1,2,3,?, as an information measure of stochastic dynamics of time correlation (i=0) and time memory (i=1,2,3,?). The set of functions Si(t) constitute the quantitative measure of time correlation disorder (i=0) and time memory disorder (i=1,2,3,?) in complex system. The theory developed started from the careful analysis of time correlation involving dynamics of vectors set of various chaotic states. We examine two stochastic processes involving the creation and annihilation of time correlation (or time memory) in details. We carry out the analysis of vectors? dynamics employing finite-difference equations for random variable |
| Ключевые слова |
random processes, complex systems |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=89238 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Гафаров Фаиль Мубаракович |
ru_RU |
| dc.contributor.author |
Юльметьев Ренат Музипович |
ru_RU |
| dc.date.accessioned |
2000-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2000-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2000 |
ru_RU |
| dc.identifier.citation |
Renat Yulmetyev, Peter Hänggi, and Fail Gafarov. Stochastic dynamics of time correlation in complex systems with discrete time Phys. Rev. E 62(5), 6178-6194,2000 |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=89238 |
ru_RU |
| dc.description.abstract |
In this paper we present the concept of description of random processes in complex systems with discrete time. It involves the description of kinetics of discrete processes by means of the chain of finite-difference non-Markov equations for time correlation functions (TCFs). We have introduced the dynamic (time dependent) information Shannon entropy Si(t) where i=0,1,2,3,?, as an information measure of stochastic dynamics of time correlation (i=0) and time memory (i=1,2,3,?). The set of functions Si(t) constitute the quantitative measure of time correlation disorder (i=0) and time memory disorder (i=1,2,3,?) in complex system. The theory developed started from the careful analysis of time correlation involving dynamics of vectors set of various chaotic states. We examine two stochastic processes involving the creation and annihilation of time correlation (or time memory) in details. We carry out the analysis of vectors? dynamics employing finite-difference equations for random variable |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
random processes |
ru_RU |
| dc.subject |
complex systems |
ru_RU |
| dc.title |
Stochastic dynamics of time correlation in complex systems with discrete time |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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