On the chaotic behavior of cubic \(p\)-adic dynamical systems

DOI10.1134/S0001434608030139zbMath1157.37015MaRDI QIDQ2517991

Farrukh Mukhamedov

Publication date: 12 January 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

attractorSiegel disc\(p\)-adic dynamical systemindifferent fixed pointnon-Archimedean normcubic \(p\)-adic dynamicsmonomial system

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (4)

The long-term behavior of the \(p\)-adic Sigmoid Beverton-Holt dynamical systems in the projective line \(\mathbb{P}^1 (\mathbb{Q}_p)\) ⋮ Dynamical systems of the \(p\)-adic (2, 2)-rational functions with two fixed points ⋮ \(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point ⋮ Recurrent properties of quasi-periodic dynamical systems with multiple frequencies of \(p\)-adic Liouville numbers

Cites Work

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• p-adic dynamics
• Examples of wandering domains in \(p\)-adic polynomial dynamics.
• Polynomial cycles in certain local domains

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