arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1805.05693nlin.SImath-phmath.DSmath.MP
收藏

关于三阶五次Duffing振子的精确离散化

On exact discretization of the cubic-quintic Duffing oscillator

A. V. Tsiganov

摘要:

讨论了交理论在构造与经典可积系统相关的n点有限差分方程中的应用。作为一个例子,我们给出了一维三次和五次Duffing振子的几个精确离散化,直到整数标度因子,它们共享Hamilton和正则Poisson括号的形式。

英文摘要:

Application of intersection theory to construction of n-point finite-difference equations associated with classical integrable systems is discussed. As an example, we present a few exact discretizations of one-dimensional cubic and quintic Duffing oscillators sharing form of Hamiltonian and canonical Poisson bracket up to the integer scaling factor.

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。

↑