The Non-smooth Pitchfork Bifurcation

نویسندگان

  • Paul Glendinning
  • PAUL GLENDINNING
چکیده

The bifurcations of strange nonchaotic attractors in quasi-periodically forced systems are poorly understood. A simple two-parameter example is introduced which unifies previous observations of the non-smooth pitchfork bifurcation. There are two types of generalized pitchfork bifurcation which occur in this example, and the corresponding bifurcation curves can be calculated analytically. The example shows how these bifurcations are organized around a codimension two point in parameter space.

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تاریخ انتشار 2002