All possible one- and two-component delocalized nonlinear vibrational modes (DNVMs) in triangular lattice are analyzed. DNVMs are obtained considering solely upon the symmetry of the triangular lattice, and thus, they exist regardless the type of interactions between particles. In this work, the nearest-neighbor inter-particle interactions are described by the \(\beta \)-FPU potential. The one-component DNVMs are periodic in time, while the two-component ones are superposition of the two vibrational modes with, generally speaking, incommensurate frequencies. For many (but not for all) two-component DNVMs, time-periodic solutions can be obtained by a proper choice of the amplitudes of the two constitutive modes. For each DNVM, frequency and energy per particle are reported as the functions of vibration amplitude together with other characteristics.

分析了三角晶格中所有可能的一分量和二分量离域非线性振动模式（DNVM）。仅考虑三角晶格的对称性即可获得DNVM，因此，无论粒子之间相互作用的类型如何，它们都存在。在这项工作中，最近邻粒子间的相互作用由\（\ beta \）描述-FPU的潜力。一成分的DNVM在时间上是周期性的，而两成分的DNVM是两个振动模式的叠加，通常来说，它们的频率不相称。对于许多（但不是所有的）双组分DNVMs，时间周期水溶液可以通过将两个构成模式的振幅的适当选择而获得。对于每个DNVM，每个粒子的频率和能量被报告为振动振幅以及其他特征的函数。