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：利用计算机仿真研究了噪声和周期性输入对耦合Bonhoeffer-van der Pol（BVP）振荡器的周期的影响。当将噪声和循环输入添加到单个BVP振荡器的快速变量时，平均振荡周期会随着噪声强度和输入幅度而单调减小。当两个振荡器线性耦合并且将噪声和循环输入添加到第一个振荡器时，振荡器的周期以质的不同方式改变。随着增加的噪声强度的增加，第二个振荡器的周期的平均值和标准偏差会非单调地变化。此外，由于小周期的循环输入而导致振荡器周期中的复杂分叉。当平衡点接近临界点时，还研究了耦合对噪声引起的小旋转的影响以及由于循环输入引起的振荡停止的影响。振荡周期的非单调变化和分叉归因于耦合振荡器的锁相。
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