Kurzweil integral representation of interacting Prandtl-Ishlinskii operators

DOI10.3934/dcdsb.2015.20.2949zbMath1335.47043OpenAlexW2526684191MaRDI QIDQ500145

Harbir Lamba, Sergey Melnik, Dmitrii I. Rachinskii, Pavel Krejči

Publication date: 1 October 2015

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.2949

zbMATH Keywords

network modelKurzweil integralregulated functionhysteresis operatorcomposition formuladiscontinuous Prandtl-Ishlinskii operatorsubstitution formula

Mathematics Subject Classification ID

Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Equations with nonlinear hysteresis operators (47J40)

Related Items (6)

Continuity properties of Prandtl-Ishlinskii operators in the space of regulated functions ⋮ Inverse rate-dependent Prandtl-Ishlinskii operators and applications. ⋮ A continuum of path-dependent equilibrium solutions induced by sticky expectations. ⋮ The devil is in the details: spectrum and eigenvalue distribution of the discrete Preisach memory model ⋮ On geometric conditions for reduction of the Moreau sweeping process to the Prandtl-Ishlinskii operator ⋮ The global stability of a class of history-dependent macroeconomic models

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