The Numerical Computation of Heteroclinic Connections in Systems of Gradient Partial Differential Equations

DOI10.1137/0153037zbMath0786.65077OpenAlexW2047389619MaRDI QIDQ3141740

Alastair Spence, Feng-Shan Bai, Andrew M. Stuart

Publication date: 1 November 1993

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/78145/

zbMATH Keywords

semi-discretizationsnonlinear reaction-diffusion equationsspectral methodheteroclinic connectionsCahn-Hilliard equationsgradient systemsmaximal attractornumerical illustrationsChafee-Infante problemhyperbolic equilibriaunstable manifolds of equilibriaGalerkin-Fourier method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Dynamical systems and ergodic theory (37-XX)

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Uses Software

• AUTO-86