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	<title>Denisyuk polynomials - Revision history</title>
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	<updated>2026-06-06T16:55:51Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<title>en&gt;Headbomb: Various citation cleanup and WP:AWB general fixes, added orphan, Empty section (1) tags using AWB</title>
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		<updated>2011-09-17T03:34:21Z</updated>

		<summary type="html">&lt;p&gt;Various citation cleanup and &lt;a href=&quot;/index.php?title=WP:AWB&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;WP:AWB (page does not exist)&quot;&gt;WP:AWB&lt;/a&gt; general fixes, added &lt;a href=&quot;/index.php?title=CAT:O&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;CAT:O (page does not exist)&quot;&gt;orphan&lt;/a&gt;, Empty section (1) tags using &lt;a href=&quot;/index.php?title=Testwiki:AWB&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Testwiki:AWB (page does not exist)&quot;&gt;AWB&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{orphan|date=September 2011}}&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Lorenz-95&amp;#039;&amp;#039;&amp;#039; is a [[dynamical system]] formulated by [[Edward Lorenz]] in 1995.&amp;lt;ref&amp;gt;{{cite journal|last=Lorenz|first=Edward|title=Predictability – A problem partly solved|journal=Seminar on Predictability, Vol. I, ECMWF|year=1995|url=http://eapsweb.mit.edu/research/Lorenz/Predicability_a_Problem_2006.pdf}}&amp;lt;/ref&amp;gt; It is defined as follows:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\frac{dx_i}{dt} = -x_{i-2}x_{i-1} + x_{i-1}x_{i+1} - x_i + F&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;x_i&amp;lt;/math&amp;gt; is the state of the system and &amp;lt;math&amp;gt;F&amp;lt;/math&amp;gt; is a forcing constant. &amp;lt;math&amp;gt;F=8&amp;lt;/math&amp;gt; is a common value known to cause chaotic behavior. &lt;br /&gt;
&lt;br /&gt;
It is commonly used as a model problem in [[data assimilation]]&amp;lt;ref&amp;gt;{{cite web|last=Leutbecher|first=Martin|title=A data assimilation tutorial based on the Lorenz-95 system|url=http://www.ecmwf.int/newsevents/training/meteorological_presentations/pdf/DA/ToyModel_notes.pdf}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
{{Reflist}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Dynamical systems]]&lt;/div&gt;</summary>
		<author><name>en&gt;Headbomb</name></author>
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