Nonautonomous Bifurcations in Bernoulli Differential Equations with Piecewise Constant Argument of Generalized Type

Date

2017-01-01

Author

Akhmet, Marat
Kashkynbayev, Ardak

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URI

https://hdl.handle.net/11511/99290

Journal

BIFURCATION IN AUTONOMOUS AND NONAUTONOMOUS DIFFERENTIAL EQUATIONS WITH DISCONTINUITIES

DOI

https://doi.org/10.1007/978-981-10-3180-9_6

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Department of Mathematics, Article

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Nonautonomous Bifurcations in Nonsolvable Impulsive Systems Akhmet, Marat; Kashkynbayev, Ardak (2017-01-01)
NONAUTONOMOUS TRANSCRITICAL AND PITCHFORK BIFURCATIONS IN IMPULSIVE SYSTEMS Akhmet, Marat (Mathematical Notes, 2013-01-01) For the first time analogues of nonautonomous transcritical and pitchfork bifurcations are investigated for impulsive systems.
Nonautonomous transcritical and pitchfork bifurcations in impulsive/hybrid systems Kashkynbayev, Ardak; Akhmet, Marat; Department of Mathematics (2016) The main purpose of this thesis is to study nonautonomous transcritical and pitchfork bifurcations in continuous and discontinuous dynamical systems. Two classes of discontinuity, impulsive differential equations and differential equations with an alternating piecewise constant argument of generalized type, are addressed. Moreover, the Bernoulli equation in impulsive as well as hybrid systems is introduced. For the former one, the corresponding jump equation is chosen so that after Bernoulli transformation ...
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Citation Formats

M. Akhmet and A. Kashkynbayev, “Nonautonomous Bifurcations in Bernoulli Differential Equations with Piecewise Constant Argument of Generalized Type,” BIFURCATION IN AUTONOMOUS AND NONAUTONOMOUS DIFFERENTIAL EQUATIONS WITH DISCONTINUITIES, pp. 145–156, 2017, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/99290.