DYNAMICAL MODELS OF DYADIC INTERACTIONS WITH DELAY

作者：Bielczyk Natalia; Forys Urszula^*; Platkowski Tadeusz

来源：Journal of Mathematical Sociology, 2013, 37(4): 223-249.

DOI：10.1080/0022250X.2011.597279

• discrete delay
• dyadic interactions
• stability switches

We investigate a general class of linear models of dyadic interactions with a constant discrete time delay. We prove that the changes in stability of the stationary states occur for various intervals of the parameters that determine the strength and nature of emotional interactions between the partners. The dynamics of interactions depend on both reactivity of partners to their own emotional states as well as to the partner%26apos;s states. The results suggest that reactivity to the partner%26apos;s states has greater impact on the dynamics of the relationship than the reactivity to one%26apos;s own states. Moreover, the results underscore the importance of deliberation in maintaining the stability of the relationship. Moreover, we have found that multiple stability switches are only possible when one of the partners reacts with delay to their own emotional states. We also propose a generalization to triadic interactions.

• 出版日期2013-10-1