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- W2377405332 abstract "To get complex dynamical systems with Zn-1 symmetry,relating generalized M sets and filled-in Julia sets,we construct an analysis complex function f(z)=zn+cz(c∈C,n∈3,4,5…) from discussing how to make a new continuous function by the method of fP.G()=∑σ∈Gσ-1(P(σ(x))),where P:R2→R2 is an arbitrary continuous function and G is a finite group,which was presented by Clifford A.Reiter in 2000.We investigate the characteristic of the rotational symmetry of the complex mapping family and the relation between the critical points and the parameter vectors.Lyapunov exponents from iterating critical pionts are used to judge the characters of the dynamic systems from the mappings.The generalized M sets and filled-in Julia sets of the mapping with n-1 rotational symmetry are generated by the testing of Lyapunov exponents of the critical points of the dynamic systems with the chosen parameters.The complex mapping constructed in this paper can be used to make dynamic systems with Zn-1 symmetry.Because of the multi-critical-points,the graphic structure of filled-in Julia sets from this mapping is different from that of the classical complex mapping(z←zn+c)." @default.
- W2377405332 created "2016-06-24" @default.
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- W2377405332 date "2008-01-01" @default.
- W2377405332 modified "2023-09-24" @default.
- W2377405332 title "Construction of Complex Dynamic System with Z_(n-1) Symmetry" @default.
- W2377405332 hasPublicationYear "2008" @default.
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