CAJ | 학술논문

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。
연구불동변계（주기변계、무류변계、고정변계）조건하，우합진자적빈솔공간분포대우합계통진탕사망소수우합강도적영향。결과표명，빈솔공간배렬대우합계통실현진탕사망소수적림계우합강도균유현저영향。소유가능적빈솔공간배렬양본중，실현진폭사망소수적량개림계우합강도분별복종멱률분포화쌍대수정태분포。이최역（난）실현진탕사망소대응적빈솔공간분포결구여변계조건유흔대적관련。통과분석빈솔분포적특정，정성분석료림계우합강도소복종쌍대수정태분포산생적원인。
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.