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most citedAffine Periodic Solutions of Stochastic Differential Equations

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math.DS2026

Onsager--Machlup Functional for Fractional Stochastic Newton Dynamics with Time-Dependent Noise Intensities

Yanbin Zhu, Xiaomeng Jiang, Yong Li

In this paper, we derive the Onsager--Machlup functional for a second-order Newton-type stochastic system driven by time-dependent fractional noise, \[ X_t'' = f_t(X_t, X_t') + σ_t…