Abstract
An over-damped second-order linear system with fluctuant coefficient of the second-order derivative and signal-modulated noise is considered. Based on linear-system theory, the expression of the output amplitude is obtained. Analytical results shows that the output amplitude is a non-monotonic function of the noise strength, and it varies non-monotonously with the increase of the system parameter a and b, while it decreases monotonously with the increase of the signal frequency and the system parameter c.
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