Slow Invariant Manifolds in the Problem of Order Reduction of Singularly Perturbed Systems

DOI10.1007/978-3-030-25261-8_19zbMath1487.34115OpenAlexW2972235247MaRDI QIDQ5115117

Elena Andreevna Tropkina, Vladimir Sobolev

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-25261-8_19

zbMATH Keywords

small parametersingularly perturbed systemsasymtptoticsthe method of integral manifolds

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• Singular perturbations. Introduction to system order reduction methods with applications. With a foreword by Robert O'Malley
• Canard explosion in chemical and optical systems
• Asymptotic expansions of slow invariant manifolds and reduction of chemical kinetics models

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