Abstract
In this chapter, we discuss impulsive generalizations of the nonautonomous pitchfork and transcritical bifurcations. Scalar differential equations with fixed moments of impulses are considered. By means of certain systems, we show that how the idea of pullback attracting sets remains a fruitful concept in the impulsive systems. Basics of the theory are provided.
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© 2017 Springer Nature Singapore Pte Ltd. and Higher Education Press
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Akhmet, M., Kashkynbayev, A. (2017). Nonautonomous Bifurcation in Impulsive Bernoulli Equations. 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_4
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DOI: https://doi.org/10.1007/978-981-10-3180-9_4
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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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