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Article #243

Hailstone Numbers and Chaos

#243
From: Robert D. Black
Date: Wed, 26 Jun 1991 00:51
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A discussion of the hailstone numbers can be found in:

	"Complexity, Undecidability and Chaos: a Class of
	 Dynamical Systems with Fractal Orbits"; Corrado Agnes
	 and Mario Rasetti.  page 3 of:

	"Workshop on Chaos and Complexity", 1987, edited by
	 R.Livi, S.Ruffo, S.Ciliberto and M.Buiatti.  Published
	 by World Scientific (Singapore).  Q172.5.C45 W926

The article claims that the hailstone numbers are chaotic,
and that the problem of determining whether the sequence
terminates in a <1,4,2,1> cycle is undecidable.
--
--
Robert Black                               rdb@scs.carleton.ca
School of Computer Science
Carleton University, Ottawa, Canada
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Newsgroups: comp.theory.dynamic-sys
Path: arc1-ca.pugleaf.net!utzoo!utgpu!cunews!rdb
From: rdb@scs.carleton.ca (Robert D. Black)
Subject: Hailstone Numbers and Chaos
Message-ID: <1991Jun26.005112.15632@cunews.carleton.ca>
Sender: news@cunews.carleton.ca
Organization: School of Computer Science, Carleton University, Ottawa, Canada
Distribution: comp.theory.dynamic-sys
Date: Wed, 26 Jun 1991 00:51:12 GMT