Given the tent map T(x) = {2x for x<= 1/2 2-2x for x> 1/2 } Prove that the set of all periodic points of T is dense in [0, 1] and determine the number of points with least periods and their distinct orbits
Given the tent map T(x) = {2x for x<= 1/2 2-2x for x> 1/2 } Prove that the set of all periodic points of T is dense in [0, 1] and determine the number of points with least periods and their distinct orbits
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Given the tent map
T(x) =
{2x for x<= 1/2
2-2x for x> 1/2
}
Prove that the set of all periodic points of T is dense in [0, 1] and determine the number of points with least periods and their distinct orbits.
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