Flexible and robust networks

TL;DR

This paper introduces a flexible and robust network architecture with centers and satellites, capable of generating diverse dynamic patterns and maintaining stability despite perturbations.

Contribution

It presents a novel centralized network architecture that can produce a wide range of dynamics and demonstrates its robustness to random perturbations.

Findings

Can generate chaotic, periodic, or multiple equilibrium states.

Exhibits robustness against random perturbations.

Applicable to gene network modeling.

Abstract

We consider networks with two types of nodes. The v-nodes, called centers, are hyper- connected and interact one to another via many u-nodes, called satellites. This central- ized architecture, widespread in gene networks, possesses two fundamental properties. Namely, this organization creates feedback loops that are capable to generate practically any prescribed patterning dynamics, chaotic or periodic, or having a number of equilib- rium states. Moreover, this organization is robust with respect to random perturbations of the system.