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Repulsive Invariant Manifolds in Modeling the Critical Phenomena

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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 paper shows how the repulsive invariant manifolds of multiscale dynamical systems are used for modeling the critical phenomena. A dynamical model of fuel spray ignition is considered to illustrate this approach.

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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Correspondence to Elena Shchepakina .

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Shchepakina, E. (2019). Repulsive Invariant Manifolds in Modeling the Critical Phenomena. 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_17

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