T. Kapitaniak et Y. Maistrenko, MULTIPLE-CHOICE BIFURCATIONS AS A SOURCE OF UNPREDICTABILITY IN DYNAMICAL-SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(4), 1998, pp. 5161-5163
Most of the nonlinear systems are characterized by the coexistence of
at least two attractors in some regions of the phase space. In this Br
ief Report, we present an example of a system which exhibits types of
bifurcations in which multiple-coexisting attractors are created or de
stroyed simultaneously. The main feature of these bifurcations is that
they lead to unpredictable behavior of trajectories when a system par
ameter is slowly varied through the bifurcation point. [S1063-651X(98)
14010-2].