Perturbations and Hopf bifurcation of the planar discontinuous dynamical system

Date

2005-01-01

Author

Akhmet, Marat

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The objective of the paper is to obtain results on the behavior of a specific plane discontinuous dynamical system in the neighbourhood of the singular point. A new technique of investigation is presented. Conditions for existence of the foci and centres are proposed. The focus-centre problem and Hopf bifurcation are considered. Appropriate examples are given to ilustrate the bifurcation theorem.

Subject Keywords

Planar dynamical systems, Discontinuous systems, Focus, Stability, Hopf bifurcation, Centre

URI

https://hdl.handle.net/11511/43612

Journal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

DOI

https://doi.org/10.1016/j.na.2004.08.029

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “Perturbations and Hopf bifurcation of the planar discontinuous dynamical system,” NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, pp. 163–178, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/43612.