It is observed that besides the conventional "stochastic" scenario of bifurcational transition to one of two equivalent (probabilistically symmetric) final states in nonlinear systems, a different—"dynamic"—scenario can be realized, having strong probability symmetry breaking due to the high speed of the transition. In a model example (the first period doubling bifurcation in the logistic mapping) the boundary is found dividing the stochastic (probabilistically symmetric) regime from the dynamic regime (having broken probability symmetry) of bifurcational transitions. It is shown that the critical (limiting) noise level is expressed in terms of the speed of the transition by a power law with a rather high exponent (around seven).
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