Visualizing Research of Construction of Planar Dynamic Systems with Truncated Fourier Series-Reference-Cited by-同舟云学术

Visualizing Research of Construction of Planar Dynamic Systems with Truncated Fourier Series

Published:2014-03 Issue: Volume:543-547 Page:1739-1742
ISSN:1662-7482
Container-title:Applied Mechanics and Materials
language:
Short-container-title:AMM

Author:

Sun Yan Ling¹,Xu Qi Cheng¹,Sun Li Hua¹

Affiliation:

1. Shenyang Jianzhu University

Abstract

The paper constructs the planar dynamic systems with truncated Fourier series. We propose a method to generate planar tiling images of the iterative mapping with truncated Fourier series. It constructed the planar tessellations of planar dynamic systems with cyclic windows. The iterative mapping is constructed. Then we generate cyclic windows of the dynamic plane with these mappings. Filled-in Julia sets are created by generating the coordinates of any cyclic windows. The images in different windows are continuous. We can choose any cyclic windows as the basic computing region and stretch it into a square, which is transferred to the plane to compose the new form chaos attractor and filled-in Julia sets images in the Euclidian plane. Experimental results show the effectiveness of the proposed approach.

Publisher

Trans Tech Publications, Ltd.

Link

https://www.scientific.net/AMM.543-547.1739.pdf

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