Abstract
The paper deals with the critical cases causing the loss of stability of slow integral manifold of singularly perturbed systems. In addition to the well-known critical cases, when the equilibrium of the fast subsystem loses its stability with the passage of one real or a pair of complex conjugate eigenvalues through the imaginary axis, we consider the case when the real parts as well as the imaginary parts of a pair of complex conjugate eigenvalues become zero simultaneously.
The paper is supported by the Russian Foundation for Basic Research and Samara region (through grant 16-41-630529-P) and the Ministry of Education and Science of the Russian Federation as part of a program to increase the competitiveness of SSAU in the period 2013-2020.
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Shchepakina, E. (2018). Delayed Stability Loss Scenarios for a Slow Integral Manifold. In: Korobeinikov, A. (eds) Extended Abstracts Summer 2016. Trends in Mathematics(), vol 10. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01153-6_13
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DOI: https://doi.org/10.1007/978-3-030-01153-6_13
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