平面上结构稳定的对称平铺

IF 0.3 Q4 PHYSICS, MULTIDISCIPLINARY

Nonlinear Phenomena in Complex Systems Pub Date : 2021-06-25 DOI:10.33581/1561-4085-2021-24-2-156-165

M. Makarova, Ivan A. Kovalew, D. W. Serow

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引用次数: 0

摘要

将平面上的对称m-tilings模型组装为结构稳定的哈密顿系统的相图。系统的积分是半动态系统在单位区间上作用的结果，具有m重旋转对称性的拟周期函数。已经详细地建立了五边形和七边形tilings的一些例子。讨论了tilings的加性测度和序的一些性质。

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Structurally Stable Symmetric Tilings on the Plane

A symmetric m-tilings model on the plane is assembled to be a phase portrait for a structurally stable Hamiltonian system. Integral of the system is the quasi-periodic function with m-fold rotational symmetry being result of the semi-dynamic system action on the unit interval. Some examples for pentagonal and heptagonal tilings has been built in detail. Some properties of an additive measure and order for tilings have been discussed.

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来源期刊

Nonlinear Phenomena in Complex Systems PHYSICS, MULTIDISCIPLINARY-

CiteScore

0.90

自引率

25.00%

发文量