Asymptotic Dissipativity of Lorenz model with Markov Switching for the City Development
In the work activity of the city system, described by generalized Lorentz model, is considered. It is assumed the existence of external influence on the land rate change in the city that is described by diffusive term and ergodic Markov processes. With the made assumptions, asymptotic dissipativity...
Saved in:
| Date: | 2016 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Кам'янець-Подільський національний університет імені Івана Огієнка
2016
|
| Online Access: | http://mcm-math.kpnu.edu.ua/article/view/70251 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Mathematical and computer modelling. Series: Physical and mathematical sciences |
Institution
Mathematical and computer modelling. Series: Physical and mathematical sciences| _version_ | 1856543163787771904 |
|---|---|
| author | Кінаш, Анастасія Володимирівна Хімка, Уляна Теодорівна |
| author_facet | Кінаш, Анастасія Володимирівна Хімка, Уляна Теодорівна |
| author_sort | Кінаш, Анастасія Володимирівна |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2019-03-13T10:36:57Z |
| description | In the work activity of the city system, described by generalized Lorentz model, is considered. It is assumed the existence of external influence on the land rate change in the city that is described by diffusive term and ergodic Markov processes. With the made assumptions, asymptotic dissipativity conditions of the initial system are set. Stationary points of the model of city economical activity are studied based on the results obtained for asymptotic dissipativity of generalized Lorentz model. |
| first_indexed | 2025-07-17T10:41:51Z |
| format | Article |
| id | mcm-mathkpnueduua-article-70251 |
| institution | Mathematical and computer modelling. Series: Physical and mathematical sciences |
| language | English |
| last_indexed | 2025-07-17T10:41:51Z |
| publishDate | 2016 |
| publisher | Кам'янець-Подільський національний університет імені Івана Огієнка |
| record_format | ojs |
| spelling | mcm-mathkpnueduua-article-702512019-03-13T10:36:57Z Asymptotic Dissipativity of Lorenz model with Markov Switching for the City Development Кінаш, Анастасія Володимирівна Хімка, Уляна Теодорівна Lorenz model city system asymptotic dissipativity stationary point In the work activity of the city system, described by generalized Lorentz model, is considered. It is assumed the existence of external influence on the land rate change in the city that is described by diffusive term and ergodic Markov processes. With the made assumptions, asymptotic dissipativity conditions of the initial system are set. Stationary points of the model of city economical activity are studied based on the results obtained for asymptotic dissipativity of generalized Lorentz model. Кам'янець-Подільський національний університет імені Івана Огієнка 2016-03-17 Article Article Рецензована Стаття application/pdf http://mcm-math.kpnu.edu.ua/article/view/70251 10.32626/2308-5878.2016-13.78-86 Mathematical and computer modelling. Series: Physical and mathematical sciences; 2016: Mathematical and computer modelling. Series: Physical and mathematical sciences. Issue 13; 78-86 Математичне та комп'ютерне моделювання. Серія: Фізико-математичні науки; 2016: Математичне та комп'ютерне моделювання. Серія: Фізико-математичні науки. Випуск 13; 78-86 2308-5878 10.32626/2308-5878.2016-13 en http://mcm-math.kpnu.edu.ua/article/view/70251/65487 Авторське право (c) 2021 Анастасія Володимирівна Кінаш, Уляна Теодорівна Хімка |
| spellingShingle | Кінаш, Анастасія Володимирівна Хімка, Уляна Теодорівна Asymptotic Dissipativity of Lorenz model with Markov Switching for the City Development |
| title | Asymptotic Dissipativity of Lorenz model with Markov Switching for the City Development |
| title_full | Asymptotic Dissipativity of Lorenz model with Markov Switching for the City Development |
| title_fullStr | Asymptotic Dissipativity of Lorenz model with Markov Switching for the City Development |
| title_full_unstemmed | Asymptotic Dissipativity of Lorenz model with Markov Switching for the City Development |
| title_short | Asymptotic Dissipativity of Lorenz model with Markov Switching for the City Development |
| title_sort | asymptotic dissipativity of lorenz model with markov switching for the city development |
| topic_facet | Lorenz model city system asymptotic dissipativity stationary point |
| url | http://mcm-math.kpnu.edu.ua/article/view/70251 |
| work_keys_str_mv | AT kínašanastasíâvolodimirívna asymptoticdissipativityoflorenzmodelwithmarkovswitchingforthecitydevelopment AT hímkaulânateodorívna asymptoticdissipativityoflorenzmodelwithmarkovswitchingforthecitydevelopment |