Effect of Asymmetric Manipulations in Autocatalytic Networks

Abstract

In this paper, we show that heterogeneous networks can be configured and reconfigured to operate in flexible spatial patterns. The concept is demonstrated by using a square grid of continuous stirred tank reactors with nearest neighbor interactions and hosting multiple cubic autocatalytic species. Asymmetry is introduced in the system by allowing for different feed flow rates in the reactors. A heterogeneous system offers expanded phase space, improved stability, and coexistence characteristics. The advantages of asymmetry are studied using bifurcation diagrams, continuation studies, and dynamics.