Vibrational synchronization in euler's dynamically buckling problem

摘要

Synchronization of period and Synchronization of chaos in Euler's Dynamically Buckling problem is achieved by using the method of delayed self-controlling feedback. It is shown that synchronization of period can be achieved by a small time-continuous perturbation both when the controlled system exhibits periodic limit cycles and when it turns chaotic. However, synchronization of chaos is realized in only few cases by driving with chaotic signals that are obtained from the strange attractor of the chaotic systems themselves.