COLORFUL PATTERNS WITH DISCRETE PLANAR SYMMETRIES FROM DYNAMICAL SYSTEMS

JIAN LU; YURU ZOU; WENXIA LI

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COLORFUL PATTERNS WITH DISCRETE PLANAR SYMMETRIES FROM DYNAMICAL SYSTEMS

机译：动态系统离散平面对称的彩色图案

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摘要

Automatic generation of colored patterns with discrete planar symmetries is considered from a dynamical system’s point of view. Invariant mappings with such symmetries are constructed to serve as the density functions for the generation of colorful images.

机译：从动力学系统的角度考虑，可以自动生成具有离散平面对称性的彩色图案。具有这种对称性的不变映射被构造为用作生成彩色图像的密度函数。

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《Fractals: An interdisciplinary journal on the complex geometry of nature 》 |2010年第1期| 共9页
作者
JIAN LU; YURU ZOU; WENXIA LI;
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正文语种 eng
中图分类数学 ;
关键词
Cyclic and Dihedral Groups; Frieze and Crystallographic Groups; Invariant Mapping;

机译：循环和二面体组;带状和晶体学组;不变映射;

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专利

1. COLORFUL PATTERNS WITH DISCRETE PLANAR SYMMETRIES FROM DYNAMICAL SYSTEMS [J] . JIAN LU∗ and YURU ZOU, WENXIA LI Fractals . 2010 ,第1期

机译：动态系统离散平面对称的彩色图案
2. Automatic generation of colorful patterns with wallpaper symmetries from dynamics [J] . Jian Lu, Zhongxing Ye, Yuru Zou The Visual Computer . 2007 ,第6期

机译：通过动态自动生成具有墙纸对称性的彩色图案
3. Non-local currents and the structure of eigenstates in planar discrete systems with local symmetries [J] . Roentgen M., Morfonios C. V., Diakonos F. K., Annals of Physics . 2017 ,第期

机译：具有局部对称的平面离散系统中的非局部电流和特征的结构
4. Colorful Limit Fractal Patterns with Evolving Planar Symmetry from Dynamics [C] . Lu jian, Zou yuru International conference on measuring technology and mechatronics automation . 2012

机译：来自动力学的平面对称性演化的彩色极限分形图案
5. Bifurcations of Some Planar Discrete Dynamical Systems with Applications. [D] . Khyat, Toufik. 2017

机译：一些平面离散动力系统的分叉及其应用。
6. Dynamics of Core Planar Polarity Protein Turnover and Stable Assembly into Discrete Membrane Subdomains [O] . Helen Strutt, Samantha J. Warrington, David Strutt -1

机译：核心平面极性蛋白质转换和稳定组装成离散膜亚域的动力学。
7. DIGITAL CONTROL SYSTEMS IMPLEMENTATION TECHNIQUES, VOLUME 70 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 390 pp., ISBN 0-12-0127702, $99.00 DISCRETE-TIME CONTROL SYSTEM ANALYSIS AND DESIGN, VOLUME 71 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 410 pp., ISBN 0-12-0127715, $99.00 DISCRETE-TIME CONTROL SYSTEM IMPLEMENTATION TECHNIQUES, VOLUME 72 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 388 pp., ISBN 0-12-0127725, $99.00 TECHNIQUES IN DISCRETE-TIME STOCHASTIC CONTROL SYSTEMS, VOLUME 73 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 380 pp., ISBN 0-12-0127734, $99.00 TECHNIQUES IN DISCRETE AND CONTINUOUS ROBUST SYSTEMS, VOLUME 74 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 412 pp., ISBN 0-12-0127741, $99.00 [O] . D. SUBBARAM NAIDU 1997

机译：数字控制系统的实施技术，控制和动态系统的第70卷：理论和应用的进步，C.丝丝（ED），学术出版社，圣地亚哥，1995,390 PP，ISBN 0-12-0127702，99.00美元离散时间控制系统分析和设计，控制和动态系统的第71卷：理论和应用的进步，C.丝丝（ED），学术出版社，圣地亚哥，1995,410 PP，ISBN 0-12-0127715，99.00美元离散时间控制系统实现技术，控制和动态系统的第72卷：理论和应用的进步，C.丝丝（ED），学术出版社，圣地亚哥，1995,388 pp，ISBN 0-12-0127725，99.00美元的离散 - 时间随机控制系统，控制和动态系统的VOLUME 73：前进，理论与应用，C Leondes（ED），学术出版社，圣地亚哥，1995年，380页，ISBN 0-12-0127734，在离散和$ 99.00技术。连续稳健的系统，控制和动态系统的第74卷：理论和应用的进步，C. leondes（ed），学术出版社，圣地亚哥，1995,412 pp。，ISBN 0-12-0127741，99.00美元
8. Discrete-Symmetry Breaking and Novel Critical Phenomena in Antiferromagnetic Planar (XY) Model in Two Dimensions [R] . Lee, D. H., Joannopoulos, J. D., Negele, J. W., 1984

机译：二维反铁磁平面（XY）模型中的离散对称破缺与新临界现象

COLORFUL PATTERNS WITH DISCRETE PLANAR SYMMETRIES FROM DYNAMICAL SYSTEMS

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