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Two-parameter sliding bifurcations of limit cycles in Filippov Systems

Research output: Working paperWorking paper and Preprints

Original languageEnglish
Publication date2003
StateUnpublished

Abstract

This paper is concerned with the extension of the theory of sliding bifurcations in Filippov systems to the case of codimension-two degenerate sliding bifurcations. The analysis is carried out for generic n-dimensional piecewise smooth systems. The possible degenerate scenarios are classified and unfolded. It is shown that several branches of codimension-one sliding bifurcations originate from each of the degenerate codimension-two point. Such branches are appropriately classified. A friction oscillator is used as a representative example to illustrate and confirm the theoretical derivations.

Documents

  • 2003r17

    Preprint (usually an early version) , 511 KB, PDF-document

Research areas

  • sliding, grazing, piecewise smooth, bifurcation

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