Effects of noise and cyclic input on the period of coupled Bonhoeffer-van der Pol (BVP) oscillators are studied with computer simulation. When the noise and cyclic input are added to a fast variable of a single BVP oscillator, the mean oscillation period is monotonically decreased as the strength of noise and the amplitude of input. When two oscillators are linearly coupled and the noise and cyclic input are added to the first oscillator, the periods of the oscillators are changed in qualitatively different manners. The mean and standard deviation of the period of the second oscillator are changed non-monotonically as the strength of the added noise increases. Further, complicated bifurcations in the periods of the oscillators are caused by the cyclic input of small period. Effects of the coupling on the small rotations due to the noise and the cease of the oscillation due to the cyclic input are also studied when the equilibrium point is close to the critical point. The non-monotonic changes and bifurcations in the oscillation period are attributed to the phase locking of the coupled oscillators.
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机译:研究了噪声和循环输入对耦合Bonhoeffer-van der Pol(BVP)振荡器的影响,采用计算机仿真研究。当噪声和环状输入被添加到单个BVP振荡器的快速可变,平均振荡周期单调作为噪声的强度和输入的振幅减小。当两个振荡器线性耦合并且噪声和循环输入被添加到第一振荡器时,振荡器的周期以定性不同的方式改变。随着增加的噪声的强度增加,第二振荡器周期的平均值和标准偏差被非单调地改变。此外,振荡器时段的复杂分叉由循环输入的小时期引起。当平衡点接近临界点时,还研究了由于噪声和由于循环输入引起的振荡引起的小旋转的影响。振荡周期中的非单调变化和分叉归因于耦合振荡器的相位锁定。
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