二聚体颗粒链中的周期行波
Periodic Travelling Waves in Dimer Granular Chains
摘要：
在反连续极限下，研究了轻重珠质量比为零时颗粒二聚体链中周期行波的分岔。我们证明了每个极限周期波关于质量比参数是唯一连续的，并且波长大于某个临界值的周期波是谱稳定的。数值计算研究如何继续这个解决方案的家庭之间的珠，其中存在的颗粒单体链的周期性行波的质量比相等的限制。
英文摘要：
We study bifurcations of periodic travelling waves in granular dimer chains from the anti-continuum limit, when the mass ratio between the light and heavy beads is zero. We show that every limiting periodic wave is uniquely continued with respect to the mass ratio parameter and the periodic waves with the wavelength larger than a certain critical value are spectrally stable. Numerical computations are developed to study how this solution family is continued to the limit of equal mass ratio between the beads, where periodic travelling waves of granular monomer chains exist.
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