✦ LIBER ✦
A new criterion of period-doubling bifurcation in maps and its application to an inertial impact shaker
✍ Scribed by Guilin Wen; Shijian Chen; Qiutan Jin
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 487 KB
- Volume
- 311
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
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 criterion is applied to the analysis of period-doubling bifurcation in a two-degree-of-freedom inertial shaker model. It can be seen in this example that the proposed criterion is preferable to the classical bifurcation criterion in high dimensional maps.