Interaction
f[state[j, i], rule[#], max age] = f[state[j, i - 1], rule[#], state[j
- 1, i - 1]] |
f[state[j-1, i], rule[#], max age] = f[state[j-1, i - 1], rule[#],
state[j , i - 1]] |
Hitherto we explored one way interactions between
CAs. CA-2 controlled CA-1. The following experiment depicts a two way interaction.
Both CAs control each other. The state of one sets the max age of the other.
Impact is a couple { i , j } i stands for the impact of CA-1 on CA-2, and j for the opposite.
The arrows above each pair indicate the impact of the interaction.
The first couple did not interact. In the second couple, CA-1 inhibited CA-2, while the latter did not affect
CA-1. CA-1 is immortal (marked by the arrow), CA-2 is short lived. The interaction
of the third couple inhibited both.
In the fourth couple, displayed at a smaller scale, CA-1 inhibited CA-2,
and CA-2 stimulated CA-1.
|
The curves depict
the effect of a rising impact of CA-2 on CA-1.. . Throughout the
experiment the impact of CA-1
on CA-2 is constant {11, j }. The experiment starts at impact = {11 , 0}. Each point on the graph is a measurement
done in 100 days. Up to impact ={11,6} CA-1 is immortal, and his product
infinite (marked by arrows). The product curve declines since during the
100 days od observation CA-1s product declines. However since being immortal
its product is infinite (marked by arrows).
The interesting and meaningful part of the experiment extends
from impac t= {11,7} to the end. CA
interaction oscillates. At impact={11,7} they inhibit each other. At impact={11,12}
CA-1 inhibits CA-2 and is stimulated by it. At impact ={13,13} both die.
Previous
Page
Next page