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A Large Chaotic Region in a 3-D Sinusoid Discrete Map

M. Mammeri


We investigate in this paper a new simple 3-D sinusoid discrete map with two nonlinearities has an important property, in which the all orbits of this map are bounded, and can describe Lorenz-type chaotic attractors form a reverse period-doubling bifurcation scenario route to chaos. The property of bounded orbits permits the existence of large chaotic region of the proposed map when one parameter bifurcation continually increasing.


3-D sinusoid discrete map, bounded orbits, Lorenz-type attractors, chaotic orbits.

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