Rigorous validation of a Hopf bifurcation in the Kuramoto–Sivashinsky PDE-Reference-Cited by-同舟云学术

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Rigorous validation of a Hopf bifurcation in the Kuramoto–Sivashinsky PDE

Published:2022-05 Issue: Volume:108 Page:106133
ISSN:1007-5704
Container-title:Communications in Nonlinear Science and Numerical Simulation
language:en
Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

van den Berg Jan Bouwe,Queirolo Elena^ORCID

Funder

NSF

NWO

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference20 articles.

1. Diffusion-induced chaos in reaction systems;Kuramoto;Progr Theoret Phys,1978

2. Nonlinear analysis of hydrodynamic instability in laminar flames - I. Derivation of basic equations;Sivashinsky;Acta Astr.,1977

3. On flame propagation under conditions of stoichiometry;Sivashinsky;SIAM J Appl Math,1980

4. Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation;Zgliczynski;Found Comput Math,2001

5. Chaos in the Kuramoto-Sivashinsky equations — a computer-assisted proof;Wilczak;J Differential Equations,2003

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