We discuss an approach to the computer assisted proof of the existence of branches of stationary and periodic solutions for dissipative PDEs, using the Brussellator system with diffusion and Dirichlet boundary conditions as an example, We also consider the case where the branch of periodic solutions emanates from a branch of stationary solutions through a Hopf bifurcation.

Computer assisted proof of branches of stationary and periodic solutions, and Hopf bifurcations, for dissipative PDEs

Arioli G.
2022-01-01

Abstract

We discuss an approach to the computer assisted proof of the existence of branches of stationary and periodic solutions for dissipative PDEs, using the Brussellator system with diffusion and Dirichlet boundary conditions as an example, We also consider the case where the branch of periodic solutions emanates from a branch of stationary solutions through a Hopf bifurcation.
2022
Branches of solutions
Diffusive Brussellator system
Hopf bifurcation
Periodic solutions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1190179
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