On a modified version of ILDM approach: asymptotic analysis based on integral manifolds

DOI10.1093/imamat/hxh100zbMath1228.34066OpenAlexW2098694527MaRDI QIDQ5297860

Ulrich Maas, Vladimir Gol'dshtein, Viatcheslav Bykov, Igor Goldfarb

Publication date: 13 July 2007

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://publikationen.bibliothek.kit.edu/1000010843

zbMATH Keywords

decompositionreductionsingularly perturbed systemintegral manifoldsILDM

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Singular perturbations of ordinary differential equations (34D15) Invariant manifolds for ordinary differential equations (34C45) Multiple scale methods for ordinary differential equations (34E13)

Related Items (7)

A new model reduction method for nonlinear dynamical systems ⋮ Stretching-based diagnostics and reduction of chemical kinetic models with diffusion ⋮ A model-reduction method for nonlinear discrete-time skew-product dynamical systems in the presence of model uncertainty ⋮ A modification to temperature-composition pdf method and its application to the simulation of a transitional bluff-body flame ⋮ Causes for ``ghost manifolds ⋮ About non-coincidence of invariant manifolds and intrinsic low dimensional manifolds (ILDM) ⋮ A mathematical model for cancer treatment based on combination of anti-angiogenic and immune cell therapies

Uses Software

• ALCON

This page was built for publication: On a modified version of ILDM approach: asymptotic analysis based on integral manifolds