旋转体哈密顿链的能量耗散
Energy Dissipation in Hamiltonian Chains of Rotators
摘要：
我们讨论，在高维系统的能量流和Kolmogorov-Arnol 'd-Moser（KAM）理论的背景下，一个链的转子（转子），这是纯粹的哈密顿，除了在一端耗散的行为。我们推导出的耗散率，成为任意小的某些物理制度的界限，我们提出的数值证据表明，这些界限是尖锐的。我们与此相关的非共振项的解耦是已知的KAM问题。
英文摘要：
We discuss, in the context of energy flow in high-dimensional systems and Kolmogorov-Arnol'd-Moser (KAM) theory, the behavior of a chain of rotators (rotors) which is purely Hamiltonian, apart from dissipation at just one end. We derive bounds on the dissipation rate which become arbitrarily small in certain physical regimes, and we present numerical evidence that these bounds are sharp. We relate this to the decoupling of non-resonant terms as is known in KAM problems.
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