Answer to Question #140025 in Physics for viny Ngobeni

Question

Which of the following statements is true about the dynamical system Xk+1= rXk+b?

A. When r=-1, the dynamical system has a stable fixed-point b/2.
B. When r=-1 and X0 is close to b/2, the dynamical system oscillates above and below b/2 while keeping the same distance to b/2.
C. When r=-1, the dynamical system has an unstable fixed-point b/2.
D. When r=-1 and b >0, the dynamical system has no fixed-points since |r|=1.

Answer 1

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