Computer-assisted validation of the existence of periodic orbit in the Brusselator system
Dynamical Systems
2023-11-22 v2 Analysis of PDEs
Abstract
We investigate the Brusselator system with diffusion and Dirichlet boundary conditions on one dimensional space interval. Our proof demonstrates that, for certain parameter values, a periodic orbit exists. This proof is computer-assisted and rooted in the rigorous integration of partial differential equations. Additionally, we present the evidence of the occurrence of period-doubling bifurcation.
Keywords
Cite
@article{arxiv.2303.03518,
title = {Computer-assisted validation of the existence of periodic orbit in the Brusselator system},
author = {Jakub Banaśkiewicz and Piotr Kalita and Piotr Zgliczyński},
journal= {arXiv preprint arXiv:2303.03518},
year = {2023}
}
Comments
Several comments were added in response to referees' remarks