Energy dissipation in Hamiltonian chains of rotators
Energy dissipation in Hamiltonian chains of rotators
复制标题
哈密顿旋转链中的能量耗散
DOI：
10.1088/1361-6544/aa85d6
复制
发表时间：
2017
期刊：
影响因子：
1.7
通讯作者：
C. E. Wayne
中科院分区：
文献类型：
--
作者：
N. Cuneo;J. Eckmann;C. E. Wayne
本文讨论了在高维系统的能量流和Kolmogorov-Arnol 'd-Moser （KAM）理论的背景下，除了一端的耗散外，纯哈密顿旋转体链（转子）的行为。我们推导了耗散率在某些物理条件下变得任意小的界限，并给出了数值证据证明这些界限是明显的。我们将此与KAM问题中已知的非谐振项的解耦联系起来。
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.