✦ LIBER ✦

COMMENTS ON “DETECTION OF GRAZING ORBITS AND INCIDENT BIFURCATIONS OF A FORCED CONTINUOUS, PIECEWISE-LINEAR OSCILLATOR” (WITH AUTHOR'S REPLY)

✍ Scribed by D.C. Dai

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 113 KB
Volume: 208
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1997.1208

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✦ Synopsis

The essential defects of the mathematical model and analytical deductions of reference [1] are shown in this note.

Some problems concerning the grazing phenomena of a forced continuous, piecewise-linear oscillator are discussed in reference [1]. It is interesting to study the dynamics of a piecewise-linear oscillator. However, some essential defects have been found in reference [1]. The details are as follows:

* For the numbers of the equations and the meaning of the symbols in this note, refer to reference [1].

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DETECTION OF GRAZING ORBITS AND INCIDENT

DETECTION OF GRAZING ORBITS AND INCIDENT BIFURCATIONS OF A FORCED CONTINUOUS, PIECEWISE-LINEAR OSCILLATOR

✍ H.Y. Hu 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 381 KB

A critical phenomenon in a continuous, piecewise-linear oscillator subjected to periodic excitation is considered, in which a periodic orbit happens to graze a switching plane between two linear regions of the oscillator at zero velocity. The analysis shows that if the piecewise linearity of the osc