Abstract
The quadratic map overp-adic numbers is studied in some detail. We prove that near almost all indifferent fixed points it is topologically conjugate to a quasiperiodic linear map. We also establish the existence of chaotic behavior and describe it using symbolic dynamics.
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Thiran, E., Verstegen, D. & Weyers, J. p-adic dynamics. J Stat Phys 54, 893–913 (1989). https://doi.org/10.1007/BF01019780
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DOI: https://doi.org/10.1007/BF01019780