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    <title>MaplePrimes - comments on Post, Rossler System, Further investigation: chaos</title>
    <link>http://www.mapleprimes.com/posts/35754-Rossler-System-Further-Investigation-Chaos</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
    <generator>Maplesoft Document System</generator>
    <lastBuildDate>Wed, 10 Jun 2026 23:48:23 GMT</lastBuildDate>
    <pubDate>Wed, 10 Jun 2026 23:48:23 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>The latest comments added to the Post, Rossler System, Further investigation: chaos</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - comments on Post, Rossler System, Further investigation: chaos</title>
      <link>http://www.mapleprimes.com/posts/35754-Rossler-System-Further-Investigation-Chaos</link>
    </image>
    <item>
      <title>for Doug</title>
      <link>http://www.mapleprimes.com/posts/35754-Rossler-System-Further-Investigation-Chaos?ref=Feed:MaplePrimes:Rossler System, Further investigation: chaos:Comments#comment45001</link>
      <itunes:summary>or anyone else who has suggestions...

Following on from the terrific plots you showed me for the DE yesterday, is there anything I can do with a system such as this, in 3 dimensions. There doesn't seem to be any interesting possibilities with the options I looked at for DEplot3d, other than a manual animation. Also, plotting in 2D when the system is 3D presumably stops DEplot from adding the vectorfield (understandably), so I was wondering what, if anything, else I can do with this.</itunes:summary>
      <description>The latest comments added to the Post, Rossler System, Further investigation: chaos</description>
      <guid>45001</guid>
      <pubDate>Fri, 12 Feb 2010 20:11:03 Z</pubDate>
      <itunes:author>longrob</itunes:author>
      <author>longrob</author>
    </item>
    <item>
      <title>Animation</title>
      <link>http://www.mapleprimes.com/posts/35754-Rossler-System-Further-Investigation-Chaos?ref=Feed:MaplePrimes:Rossler System, Further investigation: chaos:Comments#comment45002</link>
      <itunes:summary>&lt;p&gt;You might find this interesting: an animation of points running around the attractor.&lt;/p&gt;
&lt;pre&gt;
&amp;gt; sys:= eval({ross_x,ross_y,ross_z, x(0)=1, y(0)=1,z(0)=1},params);
  with(plots):
  bg:= odeplot(dsolve(sys, numeric, maxfun=infinity),
    [x(t),y(t),z(t)],t=1000..2000, numpoints=15000):
  M:= dsolve(sys, numeric, maxfun=infinity, 
     output=Array([seq(i,i=1000 .. 1040, 0.1)]))[2,1];
  for i from 0 to 39 do
    frame[i]:= display([bg, 
       pointplot3d([seq(M[1+i+40*j,2..4],j=0..9)], 
          colour=black, symbol=solidsphere)])
  end do:
  display([seq(frame[i],i=0..39)],insequence=true);

&lt;img src="http://www.math.ubc.ca/~israel/rossler.gif" alt="" /&gt;
&lt;/pre&gt;</itunes:summary>
      <description>The latest comments added to the Post, Rossler System, Further investigation: chaos</description>
      <guid>45002</guid>
      <pubDate>Sat, 13 Feb 2010 02:42:29 Z</pubDate>
      <itunes:author>Robert Israel</itunes:author>
      <author>Robert Israel</author>
    </item>
    <item>
      <title>fantastic</title>
      <link>http://www.mapleprimes.com/posts/35754-Rossler-System-Further-Investigation-Chaos?ref=Feed:MaplePrimes:Rossler System, Further investigation: chaos:Comments#comment45003</link>
      <itunes:summary>Thanks Robert ! yes, that is very useful.</itunes:summary>
      <description>The latest comments added to the Post, Rossler System, Further investigation: chaos</description>
      <guid>45003</guid>
      <pubDate>Sat, 13 Feb 2010 05:35:07 Z</pubDate>
      <itunes:author>longrob</itunes:author>
      <author>longrob</author>
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