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chao-dyn1999
Control of Dynamic Hopf Bifurcations
Nils Berglund
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 dela…
chao-dyn1998
Memory Effects and Scaling Laws in Slowly Driven Systems
N. Berglund, H. Kunz
This article deals with dynamical systems depending on a slowly varying parameter. We present several physical examples illustrating memory effects, such as metastability and hyste…
chao-dyn1998
Hysteresis in Adiabatic Dynamical Systems: an Introduction
Nils Berglund
We give a nontechnical description of the behaviour of dynamical systems governed by two distinct time scales. We discuss in particular memory effects, such as bifurcation delay an…