Consider the discrete-time dynamical system xt+1 = 5xt(1-xt). If xt = 4/5, xt +1 = _____ Is x1 = 4/5 an equilibrium for this system? ______ Write the updating function rule as f(x) = 5x(1-x).
Consider the discrete-time dynamical system xt+1 = 5xt(1-xt). If xt = 4/5, xt +1 = _____ Is x1 = 4/5 an equilibrium for this system? ______ Write the updating function rule as f(x) = 5x(1-x).
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
Consider the discrete-time dynamical system xt+1 = 5xt(1-xt).
If xt = 4/5, xt +1 = _____
Is x1 = 4/5 an equilibrium for this system? ______
Write the updating function rule as f(x) = 5x(1-x).
Compute the derivative: f'(x) = ______
Evaluate the derivative at the equilibrium: ___________
Is the equilibrium stable, unstable or neither? ________
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