For a long time, weak signal detection has been a research direction of great interest to
scholars. This paper proposes a variable stochastic differential equation with double …

This paper presents analytical studies of the stochastic differential equation with Mathieu-
Duffing oscillator under velocity feedback control with a time delay. We derive the analytic …

A nonlinear stochastic delay differential system with symmetry SD oscillator is investigated to
detect weak signal. Firstly, the stochastic Melnikov function and the chaos threshold are …

This study presents a new weak signal detection method based on the van der Pol–Duffing
oscillator. The principle of the proposed method is described. A weak signal is detected …

Based on the principle of chaos suppression with the piecewise periodic perturbation,
detection of weak periodic signals in strong noise is realized with controlled NBS (Novel …

Purpose–The purpose of this paper is to detect the periodic signal under strong noise
background, and estimate its amplitude/phase. Design/methodology/approach–Melnikov …

Aiming at detecting the weak signal in a strong noise background, an enhanced weak signal
detection method based on adaptive parameter-induced tri-stable stochastic resonance is …

Based on the rectification method of detectable domain and elimination method of blind
domain, the variable scale-convex-peak method for the identification frequency of weak …

Extraction of the weak signals is crucial for fault prognostics in which case features are often
very weak and masked by noise. In the time domain, the detection of weak signals depends …

Weak signal detection has been widely used in many fields such as military and national
economy. Aiming at the problem that the traditional stochastic resonance (SR) method can't …