Topological Classifications for a Class of 2-dimensional Quadratic Mappings and an Application to Iterative Roots
2021
Usually, it is difficult to find a topological relation among high dimensional mappings because of the complexity of existence conditions for conjugacies. In this paper, we investigate the conjugation for a class of 2-dimensional quadratic mappings via the theory of polynomial algebra. Two kinds of conjugate classifications are given. Finally, an application to the problem of iterative roots is also presented.
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