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Turing patterns in CNNs. III. Computer simulation results

机译:CNN中的图灵模式。三,计算机仿真结果

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For part II, see ibid., vol. 42, no. 10, pp. 612-26 (Oct. 1995). In this paper, various patterns obtained through computer simulations are presented. It is shown through simple examples that the four inequalities known as the Turing instability conditions are only necessary but not sufficient conditions for Turing patterns to exist. The influence of various parameters, initial conditions as well as sidewall forcing on the final patterns and the possibilities of eliminating defects are studied by means of computer simulations. The possibility of generating perfectly regular patterns or patterns with few defects through the application of small and short controlling signals at one boundary suggests the intriguing possibility of producing high-purity high-tech materials, such as crystals, which was not possible with current technology. In addition, novel applications in image processing, pattern recognition, and other areas can be expected.
机译:对于第二部分,参见同上,第一卷。 42号,第10卷,第612-26页(1995年10月)。在本文中,提出了通过计算机仿真获得的各种模式。通过简单的示例显示,称为图灵不稳定性条件的四个不等式仅是存在图灵模式的必要条件,而不是充分条件。通过计算机模拟研究了各种参数,初始条件以及侧壁受力对最终图形的影响以及消除缺陷的可能性。通过在一个边界上施加小的和短的控制信号来产生完全规则的图案或几乎没有缺陷的图案的可能性暗示了生产高纯度高科技材料(如晶体)的有趣可能性,而这是当前技术无法实现的。另外,可以预期在图像处理,模式识别和其他领域中的新颖应用。

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