Attracting fixed points of polynomial dynamical systems in fields of $ p$-adic numbers

DOI10.1070/IM2007v071n04ABEH002374zbMath1168.37011MaRDI QIDQ5439923

Per-Anders Svensson, Andrei Yu. Khrennikov

Publication date: 30 January 2008

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

discrete dynamical systems\(p\)-adic numbers\(2\)-periodic points

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Low-dimensional dynamical systems (37E99) Other nonanalytic theory (11S85)

Related Items (8)

Criteria of ergodicity for \(p\)-adic dynamical systems in terms of coordinate functions ⋮ On measure-preserving functions over \(\mathbb Z_3\) ⋮ The size of quadratic \(p\)-adic linearization disks ⋮ Linearization in ultrametric dynamics in fields of characteristic zero -- equal characteristic case ⋮ On hyperbolic fixed points in ultrametric dynamics ⋮ On recent results of ergodic property for \(p\)-adic dynamical systems ⋮ On the number of equivalence classes of attracting dynamical systems ⋮ Two-periodic dynamics in finite extensions of the \(p\)-adic number field

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