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Authors
Biemond, J. J. Benjamin; Van De Wouw, Nathan; Nijmeijer, Henk

Digital Object Identifier (DOI)
10.3182/20090622-3-UK-3004.00054

Page Numbers:
285-290

Index Terms
nonlinear systems,bifurcations,limit cycles,stability analysis,hybrid systems,piecewise linear systems

Abstract
In this paper we present a procedure to find all limit sets near bifurcating equilibria in continuous, piecewise affine systems defined on a conic partition of the plane. To guarantee completeness of the obtained limit sets, new conditions for the existence or absence of closed orbits are combined with the study of return maps. With these results a complete bifurcation analysis of a class of planar conewise affine systems is presented.

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