A family of approximate inertial manifolds for a Van der Pol/FitzHugh–Nagumo perturbation problem

DOI10.1080/00207160.2010.509792zbMath1220.34071OpenAlexW2111544326MaRDI QIDQ3008354

Cristina-Simona Nartea, Joseph L. Shomberg

Publication date: 15 June 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2010.509792

zbMATH Keywords

stability theoryapproximate inertial manifoldsvanishing coefficientsVan der Pol/FitzHugh-Nagumo perturbation

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

• Unnamed Item
• On approximate inertial manifolds to the Navier-Stokes equations
• Semigroups of linear operators and applications to partial differential equations
• Approximate inertial manifolds of exponential order
• Accurate Computations on Inertial Manifolds
• Nonlinear Galerkin Methods

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