Bifurcation of three-dimensional discontinuous cycles

Date

2009-12-15

Author

Akhmet, Marat

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We consider three-dimensional discontinuous dynamical systems with non-fixed moments of impacts. Existence of the center manifold is proved for the system. The result is applied for the extension of the planar Hopf bifurcation theorem [M.U. Akhmet, Perturbations and Hopf bifurcation of the planar discontinuous dynamical system, Nonlinear Analysis 60 (2005) 163-178]. Illustrative examples are constructed for the theory.

Subject Keywords

Applied Mathematics, Analysis

URI

https://hdl.handle.net/11511/46009

Journal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

DOI

https://doi.org/10.1016/j.na.2009.03.071

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “Bifurcation of three-dimensional discontinuous cycles,” NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, pp. 0–0, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46009.