Limit states of discrete dynamic systems with an attractive interaction

• Date: 2017
• Author Affiliations: О. Р. Сатур — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Satur, O. R., Сатур, О. Р.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2017
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/338
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We study a model of discrete conflict dynamical system with attractive interaction, which describes the redistribution of the conflict space between two opponents. Existence of the equilibrium state of the dynamical systems is proved and explicit formulas for the limit distributions in terms of stocha...