TY - JOUR
T1 - An equation-free approach to agent-based computation
T2 - Bifurcation analysis and control of stationary states
AU - Siettos, C. I.
AU - Gear, C. W.
AU - Kevrekidis, I. G.
PY - 2012/8/1
Y1 - 2012/8/1
N2 - We show how the equation-free approach can be exploited to enable agent-based simulators to perform system-level computations such as bifurcation, stability analysis and controller design. We illustrate these tasks through an event-driven agent-based model describing the dynamic behaviour of many interacting investors in the presence of mimesis. Using short bursts of appropriately initialized runs of the detailed, agent-based simulator, we construct the coarse-grained bifurcation diagram of the (expected) density of agents and investigate the stability of its multiple solution branches. When the mimetic coupling between agents becomes strong enough, the stable stationary state loses its stability at a coarse turning point bifurcation. We also demonstrate how the framework can be used to design a wash-out dynamic controller that stabilizes open-loop unstable stationary states even under model uncertainty.
AB - We show how the equation-free approach can be exploited to enable agent-based simulators to perform system-level computations such as bifurcation, stability analysis and controller design. We illustrate these tasks through an event-driven agent-based model describing the dynamic behaviour of many interacting investors in the presence of mimesis. Using short bursts of appropriately initialized runs of the detailed, agent-based simulator, we construct the coarse-grained bifurcation diagram of the (expected) density of agents and investigate the stability of its multiple solution branches. When the mimetic coupling between agents becomes strong enough, the stable stationary state loses its stability at a coarse turning point bifurcation. We also demonstrate how the framework can be used to design a wash-out dynamic controller that stabilizes open-loop unstable stationary states even under model uncertainty.
UR - http://www.scopus.com/inward/record.url?scp=84865683797&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84865683797&partnerID=8YFLogxK
U2 - 10.1209/0295-5075/99/48007
DO - 10.1209/0295-5075/99/48007
M3 - Article
AN - SCOPUS:84865683797
SN - 0295-5075
VL - 99
JO - Journal de Physique (Paris), Lettres
JF - Journal de Physique (Paris), Lettres
IS - 4
M1 - 48007
ER -