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lecture_12 (dragged) 4 - ±or instance when ρ = 4 there is...

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MA 36600 LECTURE NOTES: MONDAY, FEBRUARY 9 5 The value ρ = 3 is a point of bifurcation i.e., when ρ< 3 there is one equilibrium solution, but when ρ> 3 there are two. As ρ increases eve more, the number of periods increases – until there are inFnitely many!
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Unformatted text preview: ±or instance, when ρ = 4 there is chaotic behavior. ±or more information, along with numerical examples and graphs, you may wish to check out the web site http://homepage.mac.com/ehgoins/fsi/research_lecture_2.mov...
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