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arXiv · 1805.05693

On exact discretization of the cubic-quintic Duffing oscillator

A. V. Tsiganov
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Abstract

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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A. V. Tsiganov. 2018-05-15. On exact discretization of the cubic-quintic Duffing oscillator. https://doi.org/10.1063/1.5034381

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