Study of a play-like operator

D. B. Ekanayake, R. V. Iyer

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10 Scopus citations


In this paper, we consider a play-like hysteresis operator defined by an nth order rate-independent differential system. We investigate the properties of the operator for n = 1 and 2. We show that the operator for n = 2 satisfies a one-step wiping out property. This result can be extended to show that the nth order operator satisfies an (n - 1)-th step wiping out property. Thus the new family of operators fall between the first-order differential equation models that do not satisfy any wiping-out properties and the Preisach-type operator that can show, in general, a countably infinite-step wiping out property. We will show that the "backlash-like" operator defined by Su, Stepanenko, Svoboda and Leung (SSSL) is a special case of our operator for n = 1.

Original languageEnglish
Pages (from-to)456-459
Number of pages4
JournalPhysica B: Condensed Matter
Issue number2-3
StatePublished - Feb 1 2008


  • Duhem operators
  • Hysteresis
  • PKP-type operators
  • Play-like operators


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