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

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Extended Abstracts Spring 2018

Part of the book series: Trends in Mathematics ((RPCRMB,volume 11))

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Abstract

The method of integral manifolds is used to study singularly perturbed systems of differential equations. The algorithms for the construction of the slow invariant manifolds in the case with different dimensions of the fast and slow variables was derived.

This work was funded by RFBR and Samara Region (project 16-41-630529-p) and the Ministry of Education and Science of the Russian Federation under the Competitiveness Enhancement Program of Samara University (2013–2020).

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References

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Author information

Authors and Affiliations

  1. Department of Differential Equations and Control Theory, Samara National Research University, Moskovskoye Shosse, 34, Samara, 443086, Russian Federation

    Elena Tropkina & Vladimir Sobolev

Authors
  1. Elena Tropkina
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  2. Vladimir Sobolev
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Corresponding author

Correspondence to Elena Tropkina .

Editor information

Editors and Affiliations

  1. Centre de Recerca Matemàtica, Universitat Autònoma de Barcelona, Barcelona, Spain

    Andrei Korobeinikov

  2. Facultat de Ciències, Universitat Autònoma de Barcelona, Barcelona, Spain

    Magdalena Caubergh

  3. Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain

    Tomás Lázaro

  4. Centre de Recerca Matemàtica, Universitat Autònoma de Barcelona, Barcelona, Spain

    Josep Sardanyés

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Tropkina, E., Sobolev, V. (2019). Slow Invariant Manifolds in the Problem of Order Reduction of Singularly Perturbed Systems. In: Korobeinikov, A., Caubergh, M., Lázaro, T., Sardanyés, J. (eds) Extended Abstracts Spring 2018. Trends in Mathematics(), vol 11. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-25261-8_19

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