Life expectancy calculation of transient chaos in the 2D micro-chaos map

Gábor Csernák, G. Stépán

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We analyse a simple model of a digitally controlled mechanical system, which may perform chaotic vibrations. As a consequence of the digital effects, i.e., the sampling and the round-off error, the behaviour of this system can be described by the socalled micro-chaos map. If dry friction is present in the system, it can stop the motion. In such cases the resulting behaviour is referred to as transient chaos, the duration of which can be closely related to the control time. We developed a method for the exact calculation of the mean lifetime Nm of transient chaos in case of the ID micro-chaos map, and showed that in certain cases Nm characterizes the duration of chaotic transients better than the so-called escape rate. In the present paper, we try to extend these results to a 2D version of the micro-chaos map.

Original languageEnglish
Pages (from-to)59-62
Number of pages4
JournalPeriodica Polytechnica, Mechanical Engineering
Volume51
Issue number2
DOIs
Publication statusPublished - 2007

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Chaos theory
Friction
Sampling

Keywords

  • Digital control
  • Micro-chaos
  • Two-dimensional maps

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Life expectancy calculation of transient chaos in the 2D micro-chaos map. / Csernák, Gábor; Stépán, G.

In: Periodica Polytechnica, Mechanical Engineering, Vol. 51, No. 2, 2007, p. 59-62.

Research output: Contribution to journalArticle

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