Dear Colleagues,

In recent years, there have been many fields where hysteresis manifests itself and finds very promising applications. Despite the interest in the hysteresis phenomenon as is on the fundamental stage, there are many areas where hysteresis plays an important role from the point of view of adequate modeling of various phenomena in such fields as physics, engineering, chemistry, biology, medicine, economics, etc. As is well known, a wide class of systems in the aforementioned fields exhibit hysteretic behavior, which is caused either by their internal structure or by dynamical features of the processes occurring in these systems.

On the modeling stage, there are two main approaches to the description of the hysteresis phenomena: design models, e.g., a backlash (or play-operator), a non-ideal relay, the Preisach model, the Ishlinskii–Prandtl model, and phenomenological models, such as the Bouc–Wen model, the Duhem model, the Iwan model, and others. All these approaches are well investigated and have found a wide range of applications. However, there are many interesting problems in the field of modern nonlinear dynamics where hysteresis exhibits unexpected features and leads to some interesting results. 

This Special Issue collects papers with the aim to uncover and exploit the hysteresis phenomenon in the field of nonlinear dynamics and control theory from both fundamental and applied points of view. Special attention is paid to the modeling of nonlinear dynamical systems that show both regular and chaotic behavior under hysteresis.

Prof. Dr. Mikhail E. Semenov
Guest Editor

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• Nonlinear dynamics
• Hysteresis
• Control
• Regular and chaotic dynamics
• Simulation