Perturbations and Hopf bifurcation of the planar discontinuous dynamical system

2005-01-01
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.

Citation Formats
M. Akhmet, “Perturbations and Hopf bifurcation of the planar discontinuous dynamical system,” NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol. 60, no. 1, pp. 163–178, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/43612.