Double-layered dynamics: A unified theory of projected dynamical systems and evolutionary variational inequalities

In this paper we continue the study of the unified dynamics resulting from the theory of projected dynamical systems and evolutionary variational inequalities, initiated by Cojocaru, Daniele, and Nagurney. In the process we make explicit the interdependence between the two timeframes used in this new theory. The theoretical results presented here provide a natural context for studying applied problems in disciplines such as operations research, engineering, in particular, transportation science, as well as in economics and finance. Key words: Projected dynamical systems, Evolutionary variational inequalities, System dynamics, Multiple timescales, Dynamic networks, Network equilibria, Operations research, Transportation science, Economics. 1 

• Type: Journal
• Year: 2006
• Where: EOR
• Authors: Monica-Gabriela Cojocaru, Patrizia Daniele, Anna Nagurney
• Keywords: Dynamical Systems, EOR 2006, Evolutionary Variational Inequalities, Operations Research