100 citations · 967 across the 43 of their papers we have counts for
7 papers · 1 filter
Dynamic bifurcations: hysteresis, scaling laws and feedback control
N. Berglund
We review some properties of dynamical systems with slowly varying parameters, when a parameter is moved through a bifurcation point of the static system. Bifurcations with a singl…
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…
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…
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…
Classical Billiards in a Magnetic Field and a Potential
N. Berglund
We study billiards in plane domains, with a perpendicular magnetic field and a potential. We give some results on periodic orbits, KAM tori and adiabatic invariants. We also prove…
Chaotic hysteresis in an adiabatically oscillating double well
N. Berglund, H. Kunz
We consider the motion of a damped particle in a potential oscillating slowly between a simple and a double well. The system displays hysteresis effects which can be of periodic or…