The study of the modified Chirikov map

机译：修正的Chirikov图的研究

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摘要

In case of time-symmetric delta-pulse shaped perturbation, phase portrait of physical system simulated via the Chirikov standard map has an axial symmetry, while the Chirikov standard map does not. In this paper it is shown that a symmetric integration method applied to numerical simulation of system motion allows obtaining discrete maps with axial symmetry. A symmetric modification of the Chirikov standard map is studied.

机译：在时间对称的Δ脉冲形状扰动的情况下，经由Chirikov标准图模拟的物理系统的相位肖像具有轴对称性，而Chirikov标准图不会。在本文中，示出应用于系统运动的数值模拟的对称积分方法允许通过轴对称获得离散映射。研究了Chirikov标准图的对称修改。

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《International Conference on Soft Computing and Measurements》|2017年|341-344|共4页
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Artur I. Karimov; Denis N. Butusov; Vyacheslav G. Rybin; Timur I. Karimov;
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Standards; Mathematical model; Physics; Numerical simulation; Chaos; Rotors; Generators;

机译：标准;数学模型;物理;数值模拟;混沌;转子;发电机;

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2. Optical hyperspectral image encryption based on improved Chirikov mapping and gyrator transform [J] . Chen Hang, Tanougast Camel, Liu Zhengjun, Optics and Lasers in Engineering . 2018,第auga期

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4. The study of the modified Chirikov map [C] . Artur I. Karimov, Denis N. Butusov, Vyacheslav G. Rybin, International Conference on Soft Computing and Measurements . 2017

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The study of the modified Chirikov map

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