Anti-controlling quasi-periodic impact motion of an inertial impact shaker system

A new criterion of period-doubling bifur

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

✍ Guilin Wen; Shijian Chen; Qiutan Jin 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 487 KB

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