摘要
研究不同边界(周期边界、无流边界、固定边界)条件下,耦合振子的频率空间分布对耦合系统振荡死亡所需耦合强度的影响.结果表明,频率空间排列对耦合系统实现振荡死亡所需的临界耦合强度均有显著影响.所有可能的频率空间排列样本中,实现振幅死亡所需的两个临界耦合强度分别服从幂律分布和双对数正态分布.而最易(难)实现振荡死亡所对应的频率空间分布结构与边界条件有很大的关联.通过分析频率分布的特征,定性分析了临界耦合强度所服从双对数正态分布产生的原因.
The effects of frequency spatial distribution on the critical coupling strength for oscillation death are explored in the coupled oscillators with various boundary conditions including periodical, non-flux boundary, fixed boundary conditions. The results show that the frequency spatial distributions have remarkable influences on the critical coupling strength for oscillation death. The critical coupling strengths for oscillation death of all possible spatial frequency distribution obey power law and lognormal distribution respectively. The spatial frequency distributions which are easier/harder to get oscillation death are concerned with the boundary condition of the coupled system. Finally, the regimes of the lognormal distribution of the critical coupling strength are offered according to the characters of the frequency distribution.
出处
《江西理工大学学报》
CAS
2014年第1期75-82,共8页
Journal of Jiangxi University of Science and Technology
基金
国家自然科学基金资助项目(11262006)
关键词
振荡死亡
混沌振子
频率空间分布
幂律分布
双对数正态分布
混沌控制
oscillation death
coupled oscillators
spatial distribution of frequency
powerlaw distribution
lognormal distribution
chaos control
