Abstract
For some high values of the Rayleigh numberr, the Lorenz model exhibits laminar behavior due to the presence of a stable periodic orbit. A detailed numerical study shows that, forr decreasing, the turbulent behavior is reached via an infinite sequence of bifurcations, whereas forr increasing, this is due to a collapse of the stable orbit to a hyperbolic one. The infinite sequence of bifurcations is found to be compatible with Feigenbaum's conjecture.
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Franceschini, V. A Feigenbaum sequence of bifurcations in the Lorenz model. J Stat Phys 22, 397–406 (1980). https://doi.org/10.1007/BF01014649
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DOI: https://doi.org/10.1007/BF01014649