Analysis of relations between modularity and system stability

Evolutionary processes typically are non-linear, path-dependent, non-equilibrium processes, performing work to fix information by sampling hereditary processes that survive as strategies co-evolving elements (individuals, species, genes, etc.) in the system can play. In large systems of diverse types of players also the overall dynamical stability becomes a crucial evolutionary constraint. Systemic instabilities can ostracize the system in its entire composition. It becomes important to ask how a systemically sustainable dynamics translates to the shape of the attractor landscape, i.e. the emergence of context sensitive strategy selection (e.g. tagged zero-determinant games) and the topology of relations between players. We will study isomorphism between system structure (parameters) and dynamics by information theoretic means, building on an ensemble framework we have already used extensively in the past to study a system’s Lyapunov spectrum and the so called “edge-of-chaos” [93].