Abstract
This paper analyses machines that exhibit time fractal growth-decay
En:m function behaviour. It is largely concerned with the simpler types
of En:m functions, namely the E5:1, E5:3, E7:1, E7:5 functions. An
En:m function consists of replicating and endlessly subdivided series
of alternating growth and decay segments. The machines involved are
grodec stack machines, constructed from entities called grodecs.
A grodec is a basic growth decay entity involving two stores of fluid and
energy, connected via a one way switch. Grodec stack machines can be
built from two kinds of grodecs, namely left sink grodecs and
right source grodecs. This paper analyses four classes of grodec
stack machines: left sink grodec stacks for equisegment En:1 functions
and regular En:1 functions, and right source grodec stacks for
negative equisegment En:1 functions and negative regular En:1
functions. Negative En:1 functions are fractal time functions that
grow downwards. It appears that a machine for generating an En:m function
with m > 1 is a combination of left sink and right source grodec stack
machines, called a balanced grodec stack machine. Such a machine can
also be called a chaos machine because of its sensitive dependence
on initial conditions, and capacity for chaotic behaviour.
Notes
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