On exact discretization of the cubic-quintic Duffing oscillator
Exactly Solvable and Integrable Systems
2018-08-15 v1 Mathematical Physics
Dynamical Systems
math.MP
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.
Keywords
Cite
@article{arxiv.1805.05693,
title = {On exact discretization of the cubic-quintic Duffing oscillator},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:1805.05693},
year = {2018}
}
Comments
16 pages, 3 figures, LaTex with AMS fonts