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On Chaos of a Cubic p-adic Dynamical System

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Book cover Differential Equations, Chaos and Variational Problems

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 75))

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Abstract

In the paper we describe basin of attraction of the p-adic dynamical system f(x) = x 3 + ax 2. Moreover, we also describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs.

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Author information

Authors and Affiliations

  1. Departamento de Fisica, Universidade de Aveiro, Campus Universitario de Santiago, 3810-193, Aveiro, Portugal

    Farrukh Mukhamedov & José F. F. Mendes

Authors
  1. Farrukh Mukhamedov
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  2. José F. F. Mendes
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Aveiro, 3810-193, Aveiro, Portugal

    Vasile Staicu

Additional information

Dedicated to Arrigo Cellina and James Yorke

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© 2007 Birkhäuser Verlag Basel/Switzerland

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Mukhamedov, F., Mendes, J.F.F. (2007). On Chaos of a Cubic p-adic Dynamical System. In: Staicu, V. (eds) Differential Equations, Chaos and Variational Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 75. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8482-1_24

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