NON-AUTONOMOUS BIFURCATION IN IMPULSIVE SYSTEMS

Date

2013-01-01

Author

Akhmet, Marat

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This is the first paper which considers non-autonomous bifurcations in impulsive differential equations. Impulsive generalizations of the non-autonomous pitchfork and transcritical bifurcation are discussed. We consider scalar differential equation with fixed moments of impulses. It is illustrated by means of certain systems how the idea of pullback attracting sets remains a fruitful concept in the impulsive systems. Basics of the theory are provided.

Subject Keywords

Non-autonomous bifurcation theory, Impulsive differential equations, Attractive solution, Repulsive solution, Pitchfork bifurcation, Transcritical bifurcation

URI

https://hdl.handle.net/11511/53453

Journal

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “NON-AUTONOMOUS BIFURCATION IN IMPULSIVE SYSTEMS,” ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, pp. 1–23, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53453.