In this study, we propose a time-delayed fractional oscillator (FO) subjected to damping
fluctuation and signal-modulated noise, and investigate the generalized stochastic …

Stochastic resonance (SR) has been widely used in bearing fault diagnosis due to the noise-
assisted enhancement principle of weak fault signal. The purpose of this paper is to cast off …

Established populations often exhibit oscillations in their sizes that, in the deterministic
theory, correspond to a limit cycle in the space of population sizes. If a population is isolated …

The problem of a linear damped noisy oscillator is treated in the presence of two
multiplicative sources of noise which imply a random mass and random damping. The …

The properties of the harmonic oscillator with random frequency or/and random damping
formed the content of the first edition. The second edition includes hundreds of publications …

The investigation of collective behaviors and synergies in coupled systems holds great
significance in many fields. In this paper, we propose the coupled system of overdamped …

In this paper, the collective behaviors in a globally coupled system consisting of harmonic
oscillators with damping fluctuation modeled as dichotomous noise are investigated. First …

The objective of this work is to present exact and approximate analytical solutions of a 1-
DOF oscillator with asymmetrical damping under harmonic excitation, and to explore the role …

The investigation of tempered anomalous dynamics holds great significance in many fields.
In this study, we propose a model of globally coupled harmonic oscillators with tempered …

Fragility estimates in wind turbine towers have been investigated but the effect of damping
on fragility has not been studied. While damping can often be small, it can come from …