Using a fast algorithm we have calculated the Lyapunov exponents at about 6000 parameter points in the range $0.1<r<520$, σ=10, and b=8/3 of the Lorenz model. In the chaotic region we find a large number of narrow windows containing periodic orbits---somewhat similar to what is the case in the one-dimensional logistic map.
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Frøyland et al. (1984) studied this question.
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