(b) Consider the discrete-time dynamical system in X = R given by the iteration of the map g(x) = 2x. Determine S,x= g(x) and show that the map is not topologically transitive.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 15E
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(b) Consider the discrete-time dynamical system in X = R given by the iteration of the
map g(x) = 2x.
Determine S,,x = g(x) and show that the map is not topologically transitive.
3
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Transcribed Image Text:(b) Consider the discrete-time dynamical system in X = R given by the iteration of the map g(x) = 2x. Determine S,,x = g(x) and show that the map is not topologically transitive. 3 Turn over/
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