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On the Dynamics of a Cubic p-adic Polynomial

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 57))

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Abstract

We investigate the dynamics of a cubic polynomial in the p-adic setting. Specifically, we describe the Siegel disks and the basin of attraction for the dynamical system using a result of Albeverio et al.

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References

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Correspondence to Sérgio Mendes .

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Mendes, S. (2014). On the Dynamics of a Cubic p-adic Polynomial. In: Grácio, C., Fournier-Prunaret, D., Ueta, T., Nishio, Y. (eds) Nonlinear Maps and their Applications. Springer Proceedings in Mathematics & Statistics, vol 57. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9161-3_14

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