中文摘要：

文章研究了一类由既不可逆又不连续映像构成的全局耦合映像格子系统中的奇异态行为,计算了系统的同步序参量和空间振幅变化图.结果表明,在某些特定的参数区间内,耦合映像格子系统会出现奇异态或团簇态,并且敏感地依赖于耦合强度的选择.上述丰富的动力学现象是由于单映像中不连续、不可逆性以及空间耦合相互作用的结果.通过数值模拟找到了奇异态或团簇态出现的特定参数区域.

英文摘要：

The chimera states and cluster chimera states in a globally coupled both discontinuous-and-non-invertible-map lattices are studied using the order parameters and spatial-time-amplitude patterns. The result show that chimera states and cluster chimera states are sensitive depends on the choice of the coupling strength, and they are induced by the interaction between the discontinuity and the non-invertibility in coupled system. We also discuss the conditions for the chimera states existing in this system.