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BIFURCATIONS AND CHAOS IN AUTONOMOUS SELF-EXCITED OSCILLATORS WITH IMPACT DAMPING

✍ Scribed by S. Chatterjee; A.K. Mallik

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 615 KB
Volume: 191
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1996.0139

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✦ Synopsis

Dynamics and bifurcations of a class of single-degree-of-freedom self-excited oscillators with an impact damper have been studied. The basic motivation is to determine a persistent bifurcation structure of co-dimension one which is independent of the exact functional form of the self-excitation mechanism. In the process, an analytical method for studying the qualitative dynamical features is presented. A new numerical scheme for analyzing the eigenproperties of a solution is developed. A detailed numerical study, revealing the superstructure of the bifurcation phenomena, has been performed.

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