Abstract
In this section, we consider impulsive analogues of nonautonomous transcritical and pitchfork bifurcations in the systems which cannot be solved explicitly. We extend the theorem on asymptotic properties of the quasilinear impulsive systems which was considered by Samoilenko and Perestyuk (Impulsive Differential Equations, 1995, [216]) to the entire time.
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© 2017 Springer Nature Singapore Pte Ltd. and Higher Education Press
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Akhmet, M., Kashkynbayev, A. (2017). Nonautonomous Bifurcations in Nonsolvable Impulsive Systems. In: Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities. Nonlinear Physical Science. Springer, Singapore. https://doi.org/10.1007/978-981-10-3180-9_5
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DOI: https://doi.org/10.1007/978-981-10-3180-9_5
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-3179-3
Online ISBN: 978-981-10-3180-9
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