Stability of Discrete Breathers in Diatomic Fermi-Pasta-Ulam Type Lattices

详细信息    查看全文

• 作者：Kazuyuki Yoshimura
• 关键词：diatomic Fermi-Pasta-Ulam type lattice ; discrete breather ; stability
• 刊名：Procedia IUTAM
• 出版年：2012
• 出版时间：2012
• 年：2012
• 卷：5
• 期：Complete
• 页码：134-139
• 全文大小：270 K

文摘

We consider the discrete breathers in one-dimensional diatomic Fermi-Pasta-Ulam type lattices. A discrete breather in the limit of zero mass ratio, i.e., the anti-continuous limit, consists of a finite number of in-phase or anti-phase excited light particles, separated by particles at rest. Existence of the discrete breathers is proved for small mass ratio by continuation from the anti-continuous limit. We prove that the discrete breather is linearly stable if it is continued from a solution consisting of alternating anti-phase excited particles, otherwise it is linearly unstable, near the anti-continuous limit.