ANTIPHASE SYNCHRONIZATION OF TWO NONIDENTICAL PENDULUMS

作者:Yi Il Gu; Lee Hyun Keun; Jun Sung Hyun; Kim Beom Jun*
来源:International Journal of Bifurcation and Chaos, 2010, 20(7): 2179-2184.
DOI:10.1142/S0218127410027003

摘要

We numerically study the synchronization of two nonidentical pendulum motions, pivoting on a common movable frame from the point of view of dynamic phase transition. When the difference in the pendulum lengths is not too large, it is shown that the system settles into the dynamic state of the antiphase synchronization with phase difference p. We observe that there is a bistable region where either the antiphase synchronized state or the desynchronized state can be stabilized. We also find that there exists a hysteresis effect around the dynamic phase transition as the length difference is adiabatically changed.

  • 出版日期2010-7