Dynamics of endomorphism of finite abelian groups

DOI10.1155/2017/6295430zbMath1453.37012OpenAlexW2743900191MaRDI QIDQ2314751

Zhao Jinxing, Nan Jizhu

Publication date: 30 July 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/6295430

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Directed graphs (digraphs), tournaments (05C20) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamical systems involving maps of trees and graphs (37E25)

Cites Work

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• Linear dynamical systems over finite rings
• The graph of the square mapping on the prime fields
• Cycles of linear dynamical systems over finite local rings
• On the number of distinct functional graphs of affine-linear transformations over finite fields
• Monomial dynamical systems of dimension one over finite fields
• On the Structure of G(H, k)
• Inverse Limits, Entropy and Weak Isomorphism for Discrete Dynamical Systems
• Linear Finite Dynamical Systems
• Cycles of directed graphs defined by matrix multiplication (mod \(n\))

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