Perturbations and Hopf bifurcation of the planar discontinuous dynamical system
By Marat U. Akhmet. 2004
71 citations recorded by the source corpus.
Abstract 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.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/5d0e71b73e22b8ff9a851ffb9e0f7d7f816f9a5d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- Li-Yorke chaos in the system with impacts (2009, methodology): “We attempt to shape the Li–Yorke chaos for system (1) by implementing a special initial value problem, where the moments of impulsive action are functionally dependent on the initial moment, and by using the results of the theory of impulsive differential equations [1–3,11,17,25].”