On perturbations of the periodic Toda lattice
On perturbations of the periodic Toda lattice
复制标题
关于周期性 Toda 晶格的扰动
DOI：
10.1007/bf01617919
复制
发表时间：
1976
影响因子：
2.4
通讯作者：
O. Bogoyavlensky
中科院分区：
文献类型：
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作者：
O. Bogoyavlensky
研究了一类包含周期Toda晶格扰动和齐次宇宙模型的哈密顿系统。得到了与Coxeter群相连的这些系统的振荡态的分离线近似。指出了与单李代数相关的哈密顿系统，它推广了描述周期Toda格的系统，并允许L-A对表示。
A class of Hamiltonian systems including perturbations of the periodic Toda lattice and homogeneous cosmological models is studied. Separatrix approximation of oscillation regimes in these systems connected with Coxeter groups is obtained. Hamiltonian systems connected with simple Lie algebras are pointed out, which generalize the system describing periodic Toda lattice and allow theL -A pair representation.