N Berglund 2000 Nonlinearity 13 225 doi:10.1088/0951-7715/13/1/311
N Berglund
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The slow passage through a Hopf bifurcation leads to the delayed appearance of large-amplitude oscillations. We construct a smooth scalar feedback control which suppresses the delay and causes the system to follow a stable equilibrium branch. This feature can be used to detect in time the loss of stability of an ageing device. As a by-product, we obtain results on the slow passage through a bifurcation with double-zero eigenvalue, described by a singularly perturbed cubic Liénard equation.
05.45.-a Nonlinear dynamics and nonlinear dynamical systems
Issue 1 (January 2000)
Received 1 April 1999, in final form 23 September 1999
N Berglund 2000 Nonlinearity 13 225
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