Hysteresis in Adiabatic Dynamical Systems: an Introduction

Details Hysteresis in Adiabatic Dynamical Systems: an Introduction Hysteresis in Adiabatic Dynamical Systems: an Introduction

1998-04-16

arxiv.org/abs/chao-dyn/9804027v1

Nonlinear Sciences

Chaotic Dynamics

28 pages, 10 ps figures, AMS-LaTeX. This is the introduction of my Ph.D. dissertation, available at http://dpwww.epfl.ch/ins

Scientific paper

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 and hysteresis, and comment the scaling behaviour of
hysteresis cycles. These properties are illustrated on a few simple examples.

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