Abstract
A symmetryless model of nonlinear first-order differential equations, obtained by perturbing a known model of five-mode truncated Navier-Stokes equations, is studied. Some interesting phenomena, such as the existence of an infinite sequence of bifurcations in a very narrow range of the parameter and the simultaneous presence of a strange attractor either with two fixed attracting points or with a periodic attracting orbit, are shown. Furthermore, two new sequences of period doubling bifurcations are found in the unperturbed model.
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Baivé, D., Franceschini, V. Symmetry breaking on a model of five-mode truncated Navier-Stokes equations. J Stat Phys 26, 471–484 (1981). https://doi.org/10.1007/BF01011429
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DOI: https://doi.org/10.1007/BF01011429