关于三阶五次Duffing振子的精确离散化
On exact discretization of the cubic-quintic Duffing oscillator
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.
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