Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators

Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
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DOI:
10.1088/0951-7715/7/6/006
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发表时间:
1994-11
期刊:
影响因子:
1.7
通讯作者:
R. MacKay;S. Aubry
R. MacKay;S. Aubry
中科院分区:
数学2区
文献类型:
--
作者:
R. MacKay;S. Aubry

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对于一大类弱耦合振子的时间可逆或哈密顿网络,证明了“呼吸子”(即时间周期的、空间局域的解)的存在。讨论了它们的一些性质,提出了一些推广,并提出了几个未解决的问题。
Existence of 'breathers', that is, time-periodic, spatially localized solutions, is proved for a broad range of time-reversible or Hamiltonian networks of weakly coupled oscillators. Some of their properties are discussed, some generalizations suggested, and several open questions raised.