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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
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~~
关键词
DUFFING振子
同步突变
相变
微弱信号检测
Duffing oscillator
abrupt change of synchronization
phase transition
weak signal detection
