We introduce and analyze a continuous time and state-space model of opinion cascades on
networks of large numbers of agents that form opinions about two or more options. By …

While over the last few decades AI research has largely focused on building tools and
applications, recent technological developments have prompted a resurgence of interest in …

This paper outlines a methodology for the construction of vector fields that can enable a
multi-robot system moving on the plane to generate multiple dynamical behaviors by …

This paper outlines a methodology for constructing multiple dynamical behaviors for a multi-
agent system within the motivation dynamics theoretical framework. Recent work introduced …

In this article, we physically demonstrate a reactive sensorimotor architecture for mobile
robots whose behaviors are generated by motivation dynamics. Motivation dynamics uses a …

Dynamical systems can be designed to exhibit a range of distinct behaviors, which all arise
from the same set of continuous dynamics when the latter bifurcates, triggered by a switch in …

Mean field games (MFG) have emerged as a viable tool in the analysis of large-scale self-
organizing networked systems. In particular, MFGs provide a game-theoretic optimal control …

This paper offers new analytical conditions on the system parameters of a particular class of
planar dynamical systems which would allow them to undergo a Hopf bifurcation. These …

Motivated by the problem of developing a system that can switch between low-level control
vector fields, we study the feedback interconnection of a decision mechanism based on the …

Constructing autonomous systems capable of high-level behaviors often involves reducing
these behaviors to a collection of low-level tasks. This requires developing a method for …