不可积Hamilton系统的重整化群约化
Renormalization Group Reduction of Non Integrable Hamiltonian Systems
摘要：
基于重整化群方法，对不可积的多维哈密顿系统进行了约化。导出了角平均相空间密度缓变部分和角模振幅的演化方程。证明了这些方程正是重整化群方程。作为该方法的一个应用，我们详细研究了一个半自由度动力系统的调制扩散问题。
英文摘要：
Based on the Renormalization Group method, a reduction of non integrable multi-dimensional hamiltonian systems has been performed. The evolution equations for the slowly varying part of the angle-averaged phase space density, and for the amplitudes of the angular modes have been derived. It has been shown that these equations are precisely the Renormalization Group equations. As an application of the approach developed, the modulational diffusion in one-and-a-half degree of freedom dynamical system has been studied in detail.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
