# American Institute of Mathematical Sciences

May  2004, 4(2): 457-464. doi: 10.3934/dcdsb.2004.4.457

## Non-smooth pitchfork bifurcations

 1 Department of Mathematics, UMIST, P.O. Box 88, Manchester M60 1QD, United Kingdom

Received  August 2002 Revised  May 2003 Published  February 2004

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 non-smooth pitchfork bifurcations and blowout bifurcations of strange nonchaotic attractors. The corresponding bifurcation curves can be calculated analytically. The example shows how these bifurcations are organized around a codimension two point in parameter space.
Citation: Paul Glendinning. Non-smooth pitchfork bifurcations. Discrete & Continuous Dynamical Systems - B, 2004, 4 (2) : 457-464. doi: 10.3934/dcdsb.2004.4.457
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