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In this paper we consider the class of three-dimensional discrete maps
() = [(),
(), ()], where
: ℝ → ℝ is an endomorphism. We show that all the cycles of the 3-D
map can be obtained by those of (),
as well as their local bifurcations. In particular we obtain that any local bifurcation is
of co-dimension 3, that is three eigenvalues cross simultaneously the unit circle. As the
map exhibits coexistence of cycles when
...
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