The double-well potential systems and a hybrid optical bistability device with liquid crystal have a relation to quartic maps with two equally high peaks.The star products for all doubly superstable kneading sequences...The double-well potential systems and a hybrid optical bistability device with liquid crystal have a relation to quartic maps with two equally high peaks.The star products for all doubly superstable kneading sequences in the kneading plane are presented,the generalized Feigenbaum's metric universalities such as scaling factors{αc,αD,αE}and convergent rates{δ_(a),δ_(η),δ_(a,η)}are obtained.展开更多
基金Supported in part by the Nonlinear Science Project of the National Key Projects Program of Basic Research of China(the Climbing Program)the National Natural Science Foundation of China under Grant No.19765001the Natural Science Foundation of Yunnan Province(96A001Z).
文摘The double-well potential systems and a hybrid optical bistability device with liquid crystal have a relation to quartic maps with two equally high peaks.The star products for all doubly superstable kneading sequences in the kneading plane are presented,the generalized Feigenbaum's metric universalities such as scaling factors{αc,αD,αE}and convergent rates{δ_(a),δ_(η),δ_(a,η)}are obtained.