A new criterion of period-doubling bifurcation in maps and its application to an inertial impact shaker

A new critical criterion of period-doubling bifurcations is proposed for high dimensional maps. Without the dependence on eigenvalues as in the classical bifurcation criterion, this criterion is composed of a series of algebraic conditions under which period-doubling bifurcation occurs. The proposed...

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Veröffentlicht in:	Journal of sound and vibration 2008-03, Vol.311 (1), p.212-223
Hauptverfasser:	Wen, Guilin, Chen, Shijian, Jin, Qiutan
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Bifurcations Criteria Eigenvalues Exact sciences and technology Fundamental areas of phenomenology (including applications) Inertial Physics Shakers Solid mechanics Structural and continuum mechanics Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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