We numerically discuss the asymmetric map (i=1,2 respectively correspond to x0 and x0). Severe differences appear with respect to the Feigenbaum scenario (ε₁=ε₂=0, a₁=a₂, z₁=z₂), the strongest corresponding to simple discontinuity (ε₁{≠}ε₂, a₁=a₂, z₁=z₂) in which case many inverse cascades are observed. The whole set of these cascades can be seen as a new road to chaos.
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Vieira et al. (1987) studied this question.
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