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首页> 外文会议>Advances in biomedical research >Trichotomous-noise-induced stochastic resonance for a fractional oscillator
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Trichotomous-noise-induced stochastic resonance for a fractional oscillator

机译：三分频噪声引起的分数振荡器的随机共振

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摘要

Influences of the memory exponent and the flatness of a multiplicative noise on the long-time behavior of the output signal of a fractional oscillator with fluctuating eigenfrequency subjected to an external periodic force are considered. The colored fluctuations of the oscillator frequency are modeled as a three-level Markovian telegraph noise. The main purpose of this work is to demonstrate, based on exact expressions, that an interplay of colored noise and memory can generate a variety of cooperation effects, such as hypersensitive response of the output signal to noise amplitude at high values of noise flatness as well as friction-induced reentrant transitions between different resonance regimes of the oscillator. Particularly, a critical memory exponent has been found, which marks a dynamical transition in the behavior of the system.
机译：考虑了存储器指数和乘性噪声的平坦度对固有频率变化的小数振荡器在外部周期性力作用下的输出信号的长期行为的影响。振荡器频率的彩色波动被建模为三级马尔可夫电报噪声。这项工作的主要目的是基于精确的表达式证明有色噪声和内存的相互作用会产生各种协同效应，例如在高噪声平坦度下，输出信号对噪声幅度的超敏感响应。振动引起的谐振器不同共振态之间的折返过渡。特别是，已经发现了一个关键的内存指数，它标志着系统行为的动态转变。

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