Given the finite difference equation $x_{n+1}=ax_{n}exp(-x_{n})$ for $x_{n}\geq0$, where a is a positive constant. I've determined the fixed points to be $x^*=ln(a),0$. How do I determine the values of a that will give me a period doubling bifurcation?
2026-04-02 04:33:28.1775104408
How do you find the values of a that will cause a period-doubling bifurcation?
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