Center for Mathematical Analysis, Geometry and Dynamical Systems

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A note on global stability in the periodic logistic map

Publication . Luís, Rafael; Mendonça, Sandra

In this paper, the dynamics of the celebrated p−periodic one dimensional logistic map is explored. A result on the global stability of the origin is provided and, under certain conditions on the parameters, the local stability condition of the p−periodic orbit is shown to imply its global stability.

2020Journal article

Open access