38 citations · 315 across the 32 of their papers we have counts for
34 papers
Stochastic Non-Linear Influence in Synchronisation Dynamics
Hannah Gallant, Dale Roberts, Alexander Kalloniatis
We propose a mathematical model that represents the influence of an external actor (influencer) on a network of actors (influenced). The model is an adaptation of control systems w…
Game-Theoretic Analysis of Adversarial Decision Making in a Complex Sociophysical System
Andrew C. Cullen, Tansu Alpcan, Alexander C. Kalloniatis
We apply Game Theory to a mathematical representation of two competing teams of agents connected within a complex network, where the ability of each side to manoeuvre their resourc…
Calibrating Coupling for Collaboration with Kuramoto
Alexander Kalloniatis, Timothy McLennan-Smith
We calibrate a Kuramoto model inspired representation of peer-to-peer collaboration using data on the maximum team-size where coordination breaks down. The Kuramoto model is modifi…
Unifying warfighting functions in mathematical modelling: combat, manoeuvre, and C2
Ryan Ahern, Mathew Zuparic, Keeley Hoek +1
The outcomes of warfare have rarely only been characterised by the quantity and quality of individual combatant force elements. The ability to manoeuvre and adapt across force elem…
Mathematical modelling of decision cycles in a competitive environment with neutral parties
Timothy McLennan-Smith, Alexander Kalloniatis, Simon Watt +4
Decision making is a human process that is a fundamental part of competition. As a realisation of decision making, Command and Control, or C2, has been studied in the literature fo…
Modelling host population support for combat adversaries
Mathew Zuparic, Sergiy Shelyag, Maia Angelova +2
We consider a model of adversarial dynamics consisting of three populations, labelled Blue, Green and Red, which evolve under a system of first order nonlinear differential equatio…