Quasi periodic breathers in Hamiltonian lattices with symmetries
Quasi periodic breathers in Hamiltonian lattices with symmetries
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DOI：
10.3934/dcdsb.2002.2.389
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发表时间：
2002-05
影响因子：
1.2
通讯作者：
D. Bambusi;D. Vella
中科院分区：
文献类型：
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作者：
D. Bambusi;D. Vella
本文证明了具有独立于哈密顿量的运动积分的弱耦合振子的哈密顿格中准周期呼吸子的存在性。证明是通过在反连续极限中构造拟周期呼吸子并利用N.N. [8]如[5]中所述，Nekhoroshev将其扩展到耦合情况。几个模型的应用程序。
We prove existence of quasiperiodic breathers in Hamiltonian lattices of weakly coupled oscillators having some integrals of motion independent of the Hamiltonian. The proof is obtained by constructing quasiperiodic breathers in the anticontinuoum limit and using a recent theorem by N.N. Nekhoroshev [8] as extended in [5] to continue them to the coupled case. Applications to several models are given.