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2006.89: The nonsmooth pitchfork bifurcation

2006.89: Paul Glendinning (2004) The nonsmooth pitchfork bifurcation. Discrete and continuous dynamical systems Series B, 4 (2). pp. 457-464. ISSN 1531-3492

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Official URL: http://aimsciences.org/journals/doIpChk.jsp?paperID=415&mode=full

Abstract

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.

Item Type:Article
Uncontrolled Keywords:pitchfork bifurcation, quasi-periodically forced oscillator, strange nonchaotic attractor
Subjects:MSC 2000 > 37 Dynamical systems and ergodic theory
MIMS number:2006.89
Deposited By:Professor Paul Glendinning
Deposited On:17 May 2006

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