Il Nuovo Cimento D

, Volume 9, Issue 7, pp 757–780 | Cite as

Noise-sensitive hysteresis loops around period-doubling bifurcation points

  • P. Pierański
  • J. Malecki


The noise-sensitive hysteresis loops observed in the bouncing-ball model are described. The phenomenon is analysed within the formalisms of the square map and the dissipative standard mapping. The notion of steady-state paths is introduced. A linear approximation of the simplest steady-state path is found.

PACS. 05.40

Fluctuation phenomena, random processes and Brownian motion 


Si descrivono gli anelli d’isteresi sensibili al rumore osservati nel modello della palla che rimbalza. Il fenomeno è analizzato nell’ambito dei formalismi della mappa quadrata e della funzione dissipativa standard. S’introduce la nozione di percorsi dello stato stazionario. Si trova un’approssimazione lineare del percorso piú semplice dello stato stazionario.


Описываются петли гистерезиса, чувствительные к шуму, которые наблюдаются в модели подскакивающего мяча. Это явление анализируется в рамках формализма отображения квадрата и формализма диссипативного стандартного отображения. Вводится понятие установившихся траекторий. Получается линейная аппроксимация для простейших установившихся траекторий.


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Copyright information

© Società Italiana di Fisica 1987

Authors and Affiliations

  • P. Pierański
    • 1
    • 2
  • J. Malecki
    • 2
  1. 1.Dipartimento di FisicaUniversità della CalabriaRoges di RendeItalia
  2. 2.Institute of Molecular PhysicsPolish Academy of SciencesPoznańPoland

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