Nonautonomous Systems with Variable Moments of Impulses

Date

2010-01-01

Author

Akhmet, Marat

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URI

https://hdl.handle.net/11511/99333

Journal

PRINCIPLES OF DISCONTINUOUS DYNAMICAL SYSTEMS

DOI

https://doi.org/10.1007/978-1-4419-6581-3_5

Collections

Department of Mathematics, Article

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Nonautonomous Bifurcations in Nonlinear Impulsive Systems Akhmet, Marat (Springer Science and Business Media LLC, 2020-01-01) In this paper, we study existence of the bounded solutions and asymptotic behavior of an impulsive Bernoulli equations. Nonautonomous pitchfork and transcritical bifurcation scenarios are investigated. An examples with numerical simulations are given to illustrate our results.
Nonautonomous Bifurcations in Nonsolvable Impulsive Systems Akhmet, Marat; Kashkynbayev, Ardak (2017-01-01)
Nonautonomous Bifurcations in Bernoulli Differential Equations with Piecewise Constant Argument of Generalized Type 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 ...

Citation Formats

M. Akhmet, “Nonautonomous Systems with Variable Moments of Impulses,” PRINCIPLES OF DISCONTINUOUS DYNAMICAL SYSTEMS, pp. 55–80, 2010, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/99333.