环形耦合Duffing振子间的同步突变  

Abrupt change of synchronization of ring coupled Duffing oscillator

作　　者：吴勇峰[1] 张世平[1] 孙金玮[1] Peter Rolfe 

机构地区：[1]哈尔滨工业大学电气工程及自动化学院,哈尔滨150001

出　　处：《物理学报》2011年第2期135-140,共6页Acta Physica Sinica

基　　金：国家高技术研究发展计划(批准号:2007AA06Z228);哈尔滨科技创新人才研究专项资金(批准号:2009RFLXS006)资助的课题~~

摘　　要：以环形耦合Duffing振子系统为研究对象,分析了耦合振子间的同步演化过程.发现在弱耦合条件下,如果所有振子受到同一周期策动力的驱动,那么系统在经历倍周期分岔、混沌态、大尺度周期态的相变时,各振子的运动轨迹之间将出现由同步到不同步再到同步的两次突变现象.利用其中任何一次同步突变现象可以实现系统相变的快速判别,并由此补充了利用倍周期分岔与混沌态的这一相变对微弱周期信号进行检测的方法.The ring coupled Duffing oscillator was investigated,a phenomenon was observed when analyzing the synchronization evolution between coupled oscillators,which shows that if all oscillators are driven by the same periodic driving force,the motion trajectory between weakly coupled oscillators will generate two abrupt changes from synchronization to non- synchronization and then to synchronization in the phase transition of period-doubling bifurcation,chaotic state and large- scale periodic state. Any synchronous abrupt change can be used to rapidly identify system phase transition,and thus a weak periodic signal detection method was proposed based on the phase transition of period-doubling bifurcation and chaotic state.

关 键 词：DUFFING振子 同步突变 相变 微弱信号检测 

分 类 号：O322[理学—一般力学与力学基础]