COMPUTER-ASSISTED VALIDATION OF THE EXISTENCE OF PERIODIC ORBITS IN THE BRUSSELATOR SYSTEM

被引：0

作者：

Banaskiewicz, Jakub ^{[1
]}

Kalita, Piotr ^{[2
]}

Zgliczynski, Piotr ^{[2
]}

机构：

[1] AGH Univ Sci & Technol, Al Mickiewicza 30, PL-30059 Krakow, Poland

[2] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2024年 / 29卷 / 11-12期

关键词：

KURAMOTO-SIVASHINSKY PDE; BIFURCATION; DYNAMICS; EQUATIONS; CHAOS;

D O I：

10.57262/ade029-1112-815

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：815 / 862

页数：48

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