4 papers
The Graph Structure of a Class of Permutation Maps over Ring
Kai Tan, Chengqing Li
Understanding the periodic and structural properties of permutation maps over residue rings such as is a foundational challenge in algebraic dynamics and pseudor…
Graph Structure of the Generalized Tent Map over Ring
Kai Tan, Chengqing Li
The structure of functional graphs of nonlinear systems provides one of the most intuitive methods for analyzing their properties in digital domain. The generalized Tent map is par…
The Graph Structure of Baker's maps Implemented on a Computer
Chengqing Li, Kai Tan
The complex dynamics of baker's map and its variants in an infinite-precision mathematical domain have been extensively analyzed in the past five decades. However, their real struc…
The Graph Structure of Chebyshev Permutation Polynomials over Ring
Chengqing Li, Xiaoxiong Lu, Kai Tan +1
Understanding the underlying graph structure of a nonlinear map over a particular domain is essential in evaluating its potential for real applications. In this paper, we investiga…