About non-coincidence of invariant manifolds and intrinsic low dimensional manifolds (ILDM)

DOI10.1016/j.cnsns.2006.09.002zbMath1221.80014OpenAlexW1988194792MaRDI QIDQ718673

Vladimir Gol'dshtein, Igor Goldfarb, Sofia Borok

Publication date: 24 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2006.09.002

zbMATH Keywords

singularly perturbed systemsfast-slow systemsreduction methodsintrinsic low-dimensional manifold method (ILDM)invariant slow manifolds

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Combustion (80A25) Chemically reacting flows (80A32) Invariant manifolds for ordinary differential equations (34C45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (2)

Extending the zero-derivative principle for slow-fast dynamical systems ⋮ Causes for ``ghost manifolds

Cites Work

• Geometric singular perturbation theory for ordinary differential equations
• Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
• Asymptotic analysis of two reduction methods for systems of chemical reactions
• Identification of low order manifolds: Validating the algorithm of Maas and Pope
• Comparative analysis of two asymptotic approaches based on integral manifolds
• On a modified version of ILDM approach: asymptotic analysis based on integral manifolds
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