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- W2380710894 abstract "The purpose of this paper is automatically to generate the patterns of chaotic attractors and generalized filled-in Julia sets from mapping with upper halfplane limit and square limit.Monte Carlo method is employed to search the parameter vectors from parameter space of dynamic system of equivalent mapping which is adopted in this paper.Lyapunov exponent is used to judge the characters of the related dynamical system with the parameter vectors which are chosen randomly.In this paper,the calculation of Lyapunov exponent is restricted in the fundamental region,which is a square area.The filled-in Julia sets of the mapping are constructed based on the attracting fields of dynamical system with the parameter vetors which make Lyapunov exponent negative.On the contrary,we choose the parameter vectors which make Lyapunov exponent positive to generate chaotic attractors.In this way,lots of chaotic attractors and filled-in Julia sets from the mappings with upper halflane limit and square limit can be effectively generated.So,abundant dynamical images,which are contained in the related dynamical systems,are developed." @default.
- W2380710894 created "2016-06-24" @default.
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- W2380710894 date "2006-01-01" @default.
- W2380710894 modified "2023-09-23" @default.
- W2380710894 title "Chaotic Attractors and Generalized Filled-in Julia Sets from Mapping with Upper Halfplane Limit and Square Limit" @default.
- W2380710894 hasPublicationYear "2006" @default.
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