Consider subshifts of the multi sawtooth maps S r(x) and multi angle maps T r(x) on some subset of unit interval.

Having investigated the subshifts induced by those non-primitive constant-length substitutions on two symbols,we gave an equivalent condition for such a subshift to be Li-Yorke chaotic and proved that each of the subshifts has no distributively scrambled sets.

The notion of strongly non-wandering set is introduced into a compact system,by means of which a necessary condition is given for a system to be distributively chaotic and a Li-Yorke chaotic subshift without distributively chaotic pairs is constructed,which shows that subshift distributional chaos is not equivalent to Li-Yorke chaos.

The corresponding temperature shift factors,stress shift factors and temperature-stress shift factors we.

The result indicates that(1) the deference of dynamic moduli,phase angles and shift factors between the two test modes is obvious;(2) the significance of fitted regression equation is visible and obvious for the relationship of two kinds of dynamic modulus.

Analysis of scattering from double-negative metamaterials by shift operator in FDTD method;

An improved shift operator finite-difference time-domain method based on digital signal processing technique for general dispersive medium

In this paper,we result a sufficient condition of supercyclic operators from operators commuting with generalized backward shift operators.