Abstract
A new approach to the canards chase in 3D for some class of singularly perturbed systems is suggested. The proposed approach is discussed by the use of a competitive model of population dynamics. The presence of an exact black swan (a stable/unstable slow invariant manifold) makes it possible to find a new kind of trajectories with multiple stability changes.
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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Shchepakina, E. (2019). A New Approach to Canards Chase in 3D. 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_18
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DOI: https://doi.org/10.1007/978-3-030-25261-8_18
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