A complete bifurcation analysis of planar conewise affine systems ⋆

نویسندگان

  • J. J. Benjamin Biemond
  • Nathan van de Wouw
  • Henk Nijmeijer
چکیده

This paper presents a procedure to find all limit sets near bifurcating equilibria in continuous, piecewise affine systems defined on a conic partition of R. To guarantee completeness of the obtained limit sets, new conditions for the existence or absence of limit cycles 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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تاریخ انتشار 2009