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Perturbations and Hopf bifurcation of the planar discontinuous dynamical system
Date
2005-01-01
Author
Akhmet, Marat
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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