MS#69. A Double Logistic Map (1992)
With: Laura Gardini, Daniele Fournier-Prunaret, and Ronald J. Record
Int. J. Bifurcations and Chaos, Vol. 4, No. 1 (1994) 145-176.
Written: July 30, 1992
Subjects: Discrete dynamical systems, computational math
Abstract.
Several endomorphisms of the plane have been
constructed by coupling two logistic maps. Here we study the
dynamics occurring in one of them, a twisted version due to
J. Dorband, which (like the other models) is rich in global
bifurcations. By use of critical curves, absorbing and invariant
areas are determined, inside which global bifurcations of the
attracting sets (fixed points, closed invariant curves, cycles
or chaotic attractors) take place. The basins of attraction of
the absorbing areas are determined together with their
bifurcations.
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