Which of the following maps of the unit interval admit bounded trajectories for a generic initial condition in [0,1]? 1) Yn+1 = 2.6 yn [1-(yn)²] 2) Yn+1 = (3yn) Mod 1 3) Yn+1 = sin (pi* yn) 4) Yn+1=Yn/[1+yn²]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Which of the following maps of the unit
interval admit bounded trajectories for a
generic initial condition in [0,1]?
1) yn+1 = 2.6 yn [1-(yn)²]
2) yn+1 = (3yn) Mod 1
3) yn+1 = sin (pi* yn)
4) yn+1 = Yn/[1+yn²]
Transcribed Image Text:Which of the following maps of the unit interval admit bounded trajectories for a generic initial condition in [0,1]? 1) yn+1 = 2.6 yn [1-(yn)²] 2) yn+1 = (3yn) Mod 1 3) yn+1 = sin (pi* yn) 4) yn+1 = Yn/[1+yn²]
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