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...

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Bibliographic Details
Published in:Complexity (New York, N.Y.) N.Y.), 2018-01, Vol.2018 (2018), p.1-11
Main Authors: Dmitriev, Andrey, Maltseva, Svetlana, Kornilov, Vasily
Format: Article
Language:English
Subjects:
Adiabatic flow
Approximation
Complexity
Critical phenomena
Dynamical systems
Evolution
Fractals
Mathematical analysis
Mathematical problems
Microblogs
Paradigms
Physics
Power
Science
Social networks
Statistical mechanics
Theory
Three dimensional models
Time series
User behavior
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Summary: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.
ISSN:1076-2787
1099-0526
DOI:10.1155/2018/4732491