Phase Portraits of a System of Two Interacting Actors

Kurkina, E.S.

Автор: Kurkina E.S.
Журнал: Computational Mathematics and Modeling
Том: 29
Номер: 2
Год издания: 2018
Издательство: Consultants Bureau
Местоположение издательства: United States
Первая страница: 168
Последняя страница: 183
Аннотация: The article investigates the dynamics of various interactions between two partners described by a system of two nonlinear ordinary differential equations. The partners may be various social subjects, ranging from individuals and social groups to states and nations. The models are an extension of the Murray–Gottman model originally proposed to describe relationships between married people. New functions are introduced describing the own behavior of the actors in the absence of interactions as well as functions modeling the mutual influence of the partners. Phase portraits are constructed for systems with excitable, self-sufficient, and some other types of actors that do not strive to attain a neutral state, as in the Murray–Gottman model. New types of dynamic behavior are discovered. In particular, two nonlinear conservative models are proposed that demonstrate an oscillatory dynamic about the center. The models examined in this article demonstrate a rich set of phase portraits and may be applied to model various social interactions between two partners. Keywords mathematical models two-actor social interactions between systems of nonlinear ordinary differential equations phase portraits and dynamics
Добавил в систему: Куркина Елена Сергеевна

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