Complexity of a Microblogging Social Network in the Framework of Modern Nonlinear Science
Recent developments in nonlinear science have caused the formation of a new paradigm called the paradigm of complexity. The self-organized criticality theory constitutes the foundation of this paradigm. To estimate the complexity of a microblogging social network, we used one of the conceptual schem...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/4732491 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552721286168576 |
|---|---|
| author | Andrey Dmitriev Vasily Kornilov Svetlana Maltseva |
| author_facet | Andrey Dmitriev Vasily Kornilov Svetlana Maltseva |
| author_sort | Andrey Dmitriev |
| collection | DOAJ |
| description | Recent developments in nonlinear science have caused the formation of a new paradigm called the paradigm of complexity. The self-organized criticality theory constitutes the foundation of this paradigm. To estimate the complexity of a microblogging social network, we used one of the conceptual schemes of the paradigm, namely, the system of key signs of complexity of the external manifestations of the system irrespective of its internal structure. Our research revealed all the key signs of complexity of the time series of a number of microposts. We offer a new model of a microblogging social network as a nonlinear random dynamical system with additive noise in three-dimensional phase space. Implementations of this model in the adiabatic approximation possess all the key signs of complexity, making the model a reasonable evolutionary model for a microblogging social network. The use of adiabatic approximation allows us to model a microblogging social network as a nonlinear random dynamical system with multiplicative noise with the power-law in one-dimensional phase space. |
| format | Article |
| id | doaj-art-82abc9f749b146fcbc7d7d36c140971f |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-82abc9f749b146fcbc7d7d36c140971f2025-02-03T05:58:02ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/47324914732491Complexity of a Microblogging Social Network in the Framework of Modern Nonlinear ScienceAndrey Dmitriev0Vasily Kornilov1Svetlana Maltseva2School of Business Informatics, National Research University Higher School of Economics, Moscow 101000, RussiaSchool of Business Informatics, National Research University Higher School of Economics, Moscow 101000, RussiaSchool of Business Informatics, National Research University Higher School of Economics, Moscow 101000, RussiaRecent developments in nonlinear science have caused the formation of a new paradigm called the paradigm of complexity. The self-organized criticality theory constitutes the foundation of this paradigm. To estimate the complexity of a microblogging social network, we used one of the conceptual schemes of the paradigm, namely, the system of key signs of complexity of the external manifestations of the system irrespective of its internal structure. Our research revealed all the key signs of complexity of the time series of a number of microposts. We offer a new model of a microblogging social network as a nonlinear random dynamical system with additive noise in three-dimensional phase space. Implementations of this model in the adiabatic approximation possess all the key signs of complexity, making the model a reasonable evolutionary model for a microblogging social network. The use of adiabatic approximation allows us to model a microblogging social network as a nonlinear random dynamical system with multiplicative noise with the power-law in one-dimensional phase space.http://dx.doi.org/10.1155/2018/4732491 |
| spellingShingle | Andrey Dmitriev Vasily Kornilov Svetlana Maltseva Complexity of a Microblogging Social Network in the Framework of Modern Nonlinear Science Complexity |
| title | Complexity of a Microblogging Social Network in the Framework of Modern Nonlinear Science |
| title_full | Complexity of a Microblogging Social Network in the Framework of Modern Nonlinear Science |
| title_fullStr | Complexity of a Microblogging Social Network in the Framework of Modern Nonlinear Science |
| title_full_unstemmed | Complexity of a Microblogging Social Network in the Framework of Modern Nonlinear Science |
| title_short | Complexity of a Microblogging Social Network in the Framework of Modern Nonlinear Science |
| title_sort | complexity of a microblogging social network in the framework of modern nonlinear science |
| url | http://dx.doi.org/10.1155/2018/4732491 |
| work_keys_str_mv | AT andreydmitriev complexityofamicrobloggingsocialnetworkintheframeworkofmodernnonlinearscience AT vasilykornilov complexityofamicrobloggingsocialnetworkintheframeworkofmodernnonlinearscience AT svetlanamaltseva complexityofamicrobloggingsocialnetworkintheframeworkofmodernnonlinearscience |