Geometric numerical integration of Li\'enard systems via a contact Hamiltonian approach
Numerical Analysis
2021-12-08 v2 Numerical Analysis
Mathematical Physics
Dynamical Systems
math.MP
Abstract
Starting from a contact Hamiltonian description of Li\'enard systems, we introduce a new family of explicit geometric integrators for these nonlinear dynamical systems. Focusing on the paradigmatic example of the van der Pol oscillator, we demonstrate that these integrators are particularly stable and preserve the qualitative features of the dynamics, even for relatively large values of the time step and in the stiff regime.
Keywords
Cite
@article{arxiv.2005.03951,
title = {Geometric numerical integration of Li\'enard systems via a contact Hamiltonian approach},
author = {Federico Zadra and Alessandro Bravetti and Marcello Seri},
journal= {arXiv preprint arXiv:2005.03951},
year = {2021}
}