Much attention has recently been paid to the potential of using analyt
ical tools derived from ecology and biology for analyzing competitive
(or synergetic) interactions in a complex spatial network. Defining a
network as a complex spacetime system, this article investigates the i
mplications of spatial interconnections when oscillating or chaotic be
havior in a certain node of a network is spread in both space and time
. The main focus is on stability/complexity in a network with a view t
o varying complexity in terms of the number of functional elements (e.
g., nodes, competing/growing centers). Some simulation experiments inv
olving simple-dimensional spatial systems are described.