期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 223, 期 1, 页码 121-137出版社
ELSEVIER
DOI: 10.1016/j.physd.2006.08.021
关键词
non-smooth systems; non-smooth vector fields; piecewise linear non-smooth continuous systems; Hopf bifurcation
The aim of this paper is to show a variety of bifurcation phenomena of equilibria that can be observed in non-smooth continuous systems. In non-smooth systems so-called 'multiple crossing bifurcations' can occur, for which the eigenvalues jump more than once over the imaginary axis, and which do not have a classical bifurcation as counterpart. Novel theoretical results are given for a class of planar systems but no general theory is available for the multi-dimensional case. A number of well chosen examples of multiple crossing bifurcations are discussed in detail. (c) 2006 Elsevier B.V. All rights reserved.
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