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Dynamical systems theory
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== History == The concept of dynamical systems theory has its origins in [[Newtonian mechanics]]. There, as in other natural sciences and engineering disciplines, the evolution rule of dynamical systems is given implicitly by a relation that gives the state of the system only a short time into the future. Before the advent of [[computer|fast computing machines]], solving a dynamical system required sophisticated mathematical techniques and could only be accomplished for a small class of dynamical systems. Some excellent presentations of mathematical dynamic system theory include {{harvtxt|Beltrami|1998}}, {{harvtxt|Luenberger|1979}}, {{harvtxt|Padulo|Arbib|1974}}, and {{harvtxt|Strogatz|1994}}.<ref>Jerome R. Busemeyer (2008), [http://www.cogs.indiana.edu/Publications/techreps2000/241/241.html "Dynamic Systems"]. To Appear in: ''Encyclopedia of cognitive science'', Macmillan. Retrieved 8 May 2008. {{webarchive |url=https://web.archive.org/web/20080613053119/http://www.cogs.indiana.edu/Publications/techreps2000/241/241.html |date=June 13, 2008 }}</ref>
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