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Rigorous validation of a Hopf bifurcation in the Kuramoto-Sivashinsky PDE - MaRDI portal

Rigorous validation of a Hopf bifurcation in the Kuramoto-Sivashinsky PDE (Q2076212)

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English	Rigorous validation of a Hopf bifurcation in the Kuramoto-Sivashinsky PDE	scientific article

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scholarly article

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Rigorous validation of a Hopf bifurcation in the Kuramoto-Sivashinsky PDE (English)

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Jan Bouwe Van Den Berg

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Communications in Nonlinear Science and Numerical Simulation

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publication date

16 February 2022

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full work available at URL

https://arxiv.org/abs/2009.13597

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zbMATH Keywords

one space dimension

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periodic boundary conditions

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a posteriori validation of numerical computations

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations

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On Flame Propagation Under Conditions of Stoichiometry

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Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation

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Chaos in the Kuramoto-Sivashinsky equations -- a computer-assisted proof.

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A geometric method for infinite-dimensional chaos: symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line

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Computer-assisted methods for the study of stationary solutions in dissipative systems, applied to the Kuramoto-Sivashinski equation

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Steady state bifurcations for the Kuramoto-Sivashinsky equation: a computer assisted proof

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Integration of Dissipative Partial Differential Equations: A Case Study

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Rigorous numerics for dissipative partial differential equations. II: Periodic orbit for the Kuramoto-Sivashinsky PDE -- a computer-assisted proof

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Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto--Sivashinsky Equation

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A Posteriori Verification of Invariant Objects of Evolution Equations: Periodic Orbits in the Kuramoto--Sivashinsky PDE

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Rigorous Verification of Hopf Bifurcations via Desingularization and Continuation

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Two novel methods and multi-mode periodic solutions for the Fermi-Pasta-Ulam model

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Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach

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Global bifurcation diagrams of steady states of systems of PDEs via rigorous numerics: a 3-component reaction-diffusion system

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Identifiers

zbMATH Open document ID

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10.1016/j.cnsns.2021.106133

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:2076212

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