Title
Semi-Adaptive Evolution with Spontaneous Modularity of Half-Chaotic Randomly Growing Autonomous and Open Networks
Abstract
Up until now, studies of Kauffman network stability have focused on the conditions resulting from the structure of the network. Negative feedbacks have been modeled as ice (nodes that do not change their state) in an ordered phase but this blocks the possibility of breaking out of the range of correct operation. This first, very simplified approximation leads to some incorrect conclusions, e.g., that life is on the edge of chaos. We develop a second approximation, which discovers half-chaos and shows its properties. In previous works, half-chaos has been confirmed in autonomous networks, but only using node function disturbance, which does not change the network structure. Now we examine half-chaos during network growth by adding and removing nodes as a disturbance in autonomous and open networks. In such evolutions controlled by a 'small change' of functioning after disturbance, the half-chaos is kept but spontaneous modularity emerges and blurs the picture. Half-chaos is a state to be expected in most of the real systems studied, therefore the determinants of the variability that maintains the half-chaos are particularly important in the application of complex network knowledge.
Year
DOI
Venue
2022
10.3390/sym14010092
SYMMETRY-BASEL
Keywords
DocType
Volume
complex system, system stability, chaos, half-chaos, Kauffman network
Journal
14
Issue
Citations 
PageRank 
1
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Andrzej Gecow100.34
Barna Laszlo Iantovics2198.47