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Article #169Re: Strange attractor questions
From: Bernd Bieberstein
Date: Fri, 16 Oct 1992 15:15
Date: Fri, 16 Oct 1992 15:15
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In article <00962123.79FB9060@128.104.39.173> sprott@128.104.39.173 writes: > I'm writing a book that contains several hundred examples ... > 2) I've heard that strange attractors arising from systems of ordinary > differential equations must have dimension greater than 2.0. If this is true, > is there an easy way to see why? Yes, there is an easy way to see. In 2-D space the trajektories can NOT cross each other. This is only possible in higher dimensions (of course they do not have common points then). Bernd ****************************************************************************** Bernd Bieberstein brb@qt.ipa.fhg.de ******************************************************************************
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!Germany.EU.net!ira.uka.de!news.belwue.de!news.belwue.de!brb From: brb@qt.IPA.FhG.de (Bernd Bieberstein) Newsgroups: sci.fractals Subject: Re: Strange attractor questions Date: 16 Oct 92 15:15:01 Organization: /users/brb/.organization Lines: 19 Message-ID: <BRB.92Oct16151501@fanny.qt.IPA.FhG.de> References: <00962123.79FB9060@128.104.39.173> NNTP-Posting-Host: fanny.qt.ipa.fhg.de In-reply-to: sprott@128.104.39.173's message of 14 Oct 92 12:31:16 GMT