1. A PIECEWISE LINEAR DYNAMICAL SYSTEM WITH TWO DROPPING SECTIONS.
- Author
-
GAIKO, VALERY A. and VAN HORSSEN, WIM T.
- Subjects
- *
SURROUND-sound systems , *HIGH-fidelity sound systems , *DIFFERENTIABLE dynamical systems , *MATHEMATICS , *NONLINEAR functional analysis - Abstract
In this paper, we consider a planar dynamical system with a piecewise linear function containing two dropping sections and approximating some continuous nonlinear function. Studying all possible local and global bifurcations of its limit cycles, we prove that such a piecewise linear dynamical system, with five singular points, can have at most four limit cycles, three of which surround the foci one by one and the fourth limit cycle surrounds all of the singular points of this system. [ABSTRACT FROM AUTHOR]
- Published
- 2009
- Full Text
- View/download PDF