A note on global stability in the periodic logistic map

Luís, Rafael; Mendonça, Sandra

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http://hdl.handle.net/10400.13/3760

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Authors

Luís, Rafael

Mendonça, Sandra

Abstract(s)

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.

Keywords

Global stability Periodic logistic map . Faculdade de Ciências Exatas e da Engenharia

URI

http://hdl.handle.net/10400.13/3760

Citation

Luís, R., & Mendonça, S. (2020). A note on global stability in the periodic logistic map. Discrete & Continuous Dynamical Systems-B, 25(11), 4211-4220. DOI: 10.3934/dcdsb.2020094