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|Title:||EN:M FRACTAL TIME FUNCTIONS, GRODECS AND GRODEC STACK MACHINES|
|Abstract:||This paper is concerned (a) with a family of fractal growth-decay time functions called En:m functions, (b) with fundamental growth-decay storage and switching components called grodecs, that have the switching properties of neurons, and (c) with machines constructed from stacks of grodecs, called grodec-stack machines. An En:M function consists of a series of replicating and endlessly subdivided alternating growth and decay segments. Grodecs could be used to build computing machines that work like biological information processing organs but that aspect of grodec machines is not analysed. The grodec stack machines presented and analysed exhibit time fractal growth-decay En:m function behaviour. Left-sink grodec-stack machines can exhibit En:1 function behaviour where only growth segments subdivide, and right sink grodec stack machines can exhibit negative En:1 function behaviour where only decay segments subdivide. These two types of machines can be combined to form balanced grodec-stack machines with En:m function behaviour - where both growth and decay segments subdivide. It is shown that only resonating En:m functions can be generated by such machines. The behaviour of grodec stack machines can be unfathomably complex; they can exhibit sensitive dependence on initial conditions, and therefore also chaotic behaviour.|
|Appears in Collections:||Bradley, James|
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