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中文摘要：
给出交比为负常数的SG圆模式的定义，即其中每一个圆与它相邻圆的四个交点的交比等于一个给定的负常数。通过求解适当的Cauchy问题得到其存在性。在正方形网格上建立SG圆模式与可积系统之间的联系。讨论了正方形网格上可积系统的一类同单值解。按照sG圆模式，给出了解析函数z^a与logz的离散模拟。
英文摘要：
SG circle patterns with a negative constant cross-ratio are defined. That is, for every circle the cross-ratio of its four intersection points with neighboring circles is equal to a negative constant. The existence of such circle patterns is obtained by solving a suitable Cauchy problem. The relation between SG circle patterns and integrable systems on the square grid is established. A class of isomonodromic solutions of integrable system on the square grid is discussed. Discrete analogous of analytic functions z^a and logz are presented in terms of SG circle patterns.
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