Graduated Spatial Pattern Formation of Robot Group

Pattern formation in spatial games

Pattern formation is crucial for maintaining biodiversity and cooperation in nature and human society. We review recent works on the formation of spatial patterns in the framework of evolutionary games, involving rock-paper-scissors game and social dilemmas. The rock-paper-scissors game, as a basic paradigm for characterizing nonhierarchical cyclical competition in ecosystems, has been widely u...

Pattern Formation and Spatial Chaos in Spatially

We consider an array of scalar nonlinear dynamical systems _ u = f(u), arranged on the sites of a spatial lattice, for example on the integer lattice ZZ2 in the plane IR2. We impose a coupling between nearest neighbors, and also between next-nearest neighbors, in the form of discrete Laplacians with +and -shaped stencils. These couplings can be of any strength, and of either sign (positive or n...

A Qualitative Spatial Descriptor of Group-Robot Interactions

The problem of finding a suitable qualitative representation for robots to reason about activity spaces where they carry out tasks such as leading or interacting with a group of people is tackled in this paper. For that, a Qualitative Spatial model for Group Robot Interaction (QS-GRI) is proposed to define Kendon’s F-formations [16] depending on: (i) the relative location of the robot with resp...

Thesis Proposal: Pattern Formation for Heterogeneous Multi-Robot Systems

A Review: Pattern Formation and Adaptation in Multi-Robot Systems

Recent advances in robotics have started making it feasible to deploy large numbers of inexpensive robots for tasks such as surveillance and search. However, coordination of multiple robots to accomplish such tasks remains a challenging problem. This report reviews some of the recent literature in multi-robot systems. It consists of two parts. In the first part, we reviewed the studies on the p...