Jaelynnn9219 Jaelynnn9219

25-05-2023
Mathematics

contestada

(25p) For the given discrete nonlinear system,
x(n+1) =rx(n) — sinh(x(n))
a) Find equilibrium points for r>1.
b) Analyze stability of the equilibrium points.
c) Calculate the Lyapunov exponent.
d) Plot Bifurcation Diagram for 2.79 ≤r ≤ 3.45, and comment on the system.
Note: choose initial conditions close to zero.

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