Open AccessJournal Article
On the describing function method and the prediction of limit cycles in nonlinear dynamical systems
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This article is published in Systems Analysis Modelling Simulation.The article was published on 1998-03-03 and is currently open access. It has received 20 citations till now. The article focuses on the topics: Limit (mathematics) & Describing function.read more
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Journal ArticleDOI
Describing Function Analysis of Systems with Impacts and Backlash
TL;DR: In this article, the authors analyzed the dynamics of systems with backlash and impact phenomena based on the describing function method and showed that this type of nonlinearity can be analyzed in the perspective of fractional calculus theory.
Journal ArticleDOI
Describing function of two masses with backlash
TL;DR: In this paper, the authors analyzed the dynamics of systems with backlash and impact phenomena based on the describing function method and showed that this type of nonlinearity can be analyzed in the perspective of fractional calculus theory.
Journal ArticleDOI
Fractional order modelling of dynamic backlash
TL;DR: In this paper, the authors studied the dynamical properties of systems with backlash and impact phenomena and showed that fractional models can memorize dynamical effects due to multiple micro-collisions.
Journal ArticleDOI
Fractional describing function of systems with Coulomb friction
TL;DR: In this paper, the describing function (DF) of systems constituted by a mass subjected to nonlinear friction is analyzed in the DF perspective revealing a fractional-order behavior, and the reliability of the DF method is evaluated through the signal harmonic contents.
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Fractional order describing functions
TL;DR: The study follows the describing function (DF) method for approximate analysis of nonlinearities and generalizes it in the perspective of the fractional calculus and leads to a novel viewpoint for limit cycle signal propagation as time-space waves within system structure.