paper

Asymptotic Behavior of an Unforced Duhem-Type Hysteretic Oscillator

arXiv:2601.01951

Abstract

The article describes fundamental analytical properties of an unforced mechanical oscillator with a Duhem-type viscoelastoplastic hysteretic element. These properties include global existence of solutions, uniqueness of solutions, and convergence of each solution to an equilibrium point.

8 pages; (v2) minor amendments, further references