\(p\)-adic dynamical systems

DOI10.1007/BF02575441zbMath0974.37018MaRDI QIDQ1567899

Brunello Tirozzi, Stany De Smedt, Sergio A. Albeverio, Andrei Yu. Khrennikov

Publication date: 19 July 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

attractorsSiegel disks\(p\)-adic dynamical systemsfuzzy cyclenon-Archimedean number fields

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Non-Archimedean dynamical systems (11S82) Dynamical systems over non-Archimedean local ground fields (37P20)

Related Items (25)

On a class of rational \(p\)-adic dynamical systems ⋮ Criteria of ergodicity for \(p\)-adic dynamical systems in terms of coordinate functions ⋮ A polynomial \(p\)-adic dynamical system ⋮ Ergodicity criteria for non-expanding transformations of 2-adic spheres ⋮ Criteria of measure-preserving for \(p\)-adic dynamical systems in terms of the van der Put basis ⋮ 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 ⋮ Random processes on non-Archimedean spaces ⋮ On measure-preserving functions over \(\mathbb Z_3\) ⋮ Transition semi-groups on a local field induced by Galois group and their representation ⋮ On Chaos of a Cubic p-adic Dynamical System ⋮ Time-inhomogeneous stochastic processes on the \(p\)-adic number field ⋮ On the chaotic behavior of a generalized logistic \(p\)-adic dynamical system ⋮ PSEUDO-RANDOMNESS OF ROUND-OFF ERRORS IN DISCRETIZED LINEAR MAPS ON THE PLANE ⋮ On a nonlinear \(p\)-adic dynamical system ⋮ On recent results of ergodic property for \(p\)-adic dynamical systems ⋮ On the number of cycles of \(p\)-adic dynamical systems ⋮ \((r, p)\)-capacity and Hausdorff measure on a local field ⋮ \(p\)-adic (3, 2)-rational dynamical systems ⋮ Attractors of random dynamical systems over \(p\)-adic numbers and a model of ``noisy cognitive processes. ⋮ ON ERGODIC BEHAVIOR OF p-ADIC DYNAMICAL SYSTEMS ⋮ \(p\)-adic dynamical systems of the function \(ax^{-2}\) ⋮ On the Dynamics of a Cubic p-adic Polynomial ⋮ Small denominators in complex \(p\)-adic dynamics

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The uncertainty relation for coordinate and impulse operators in the \(p\)-adic Hilbert space.
• Number theory as the ultimate physical theory
• ADELIC HARMONIC OSCILLATOR
• p-ADIC HILBERT SPACE REPRESENTATION OF QUANTUM SYSTEMS WITH AN INFINITE NUMBER OF DEGREES OF FREEDOM
• THE WAVE FUNCTION OF THE UNIVERSE AND p-ADIC GRAVITY
• p-adic quantum mechanics with p-adic valued functions
• Representations of the Weyl group in spaces of square integrable functions with respect top-adic valued Gaussian distributions
• P-ADIC DYNAMICAL SYSTEMS AND NEURAL NETWORKS

This page was built for publication: \(p\)-adic dynamical systems