Noisy oscillator: Random mass and random damping.

  title={Noisy oscillator: Random mass and random damping.},
  author={S. Burov and M. Gitterman},
  journal={Physical review. E},
  volume={94 5-1},
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 additive noise and the noise in the damping are responsible for an influx of energy to the oscillator and its dissipation to the surrounding environment. A random mass implies that the surrounding molecules not only collide with the oscillator but may also adhere to it, thereby changing its mass. We present general formulas for the… Expand
Noise and periodic signal induced stochastic resonance in a Langevin equation with random mass and frequency
Abstract The noise and external periodic signal induced stochastic resonance phenomena in a Langevin equation for the cases of random mass with dichotomous noise and random frequency with nonlinearExpand
Generalized Stochastic Resonance for a Fractional Noisy Oscillator with Random Mass and Random Damping
In this paper, we consider the random dichotomous fluctuations on both mass and damping in a fractional oscillator, which is subjected to an additive fractional Gaussian noise and driven by aExpand
Stochastic resonance in two coupled fractional oscillators with potential and coupling parameters subjected to quadratic asymmetric dichotomous noise
Exact analytical expressions for the average output amplitude gains in the very long-time limit for two coupled oscillators governed by fractional-order intrinsic and external damping, under theExpand
Cooperative mechanism of generalized stochastic resonance in a time-delayed fractional oscillator with random fluctuations on both mass and damping
Abstract In this paper, we investigate the generalized stochastic resonance (GSR) of a time-delayed fractional oscillator (FO) with the random dichotomous fluctuations on both mass and damping. ByExpand
Ornstein-Uhlenbeck Process with Fluctuating Damping
This paper studies Langevin equation with random damping due to multiplicative noise and its solution. Two types of multiplicative noise, namely the dichotomous noise and fractional Gaussian noiseExpand
Ratchet motion and current reversal of Brownian motors coupled by birth-death interactions in the crowded environment
Abstract In this study, we investigate the ratchet transport behaviors of coupled Brownian motors with stochastic interactions in the crowded environment, which is characterized by two parameters,Expand
Vibrational resonances in driven oscillators with position-dependent mass
A theoretical framework for determining the response amplitude of PDM systems is developed, and the role played by PDM can be both inductive and contributory, and it is suggested that PDM effects could usefully be explored to maximize the efficiency of devices being operated in VR modes. Expand
Effect of Ergodic and Non-Ergodic Fluctuations on a Charge Diffusing in a Stochastic Magnetic Field
It is shown that the field fluctuations induce diffusion of the charge with either normal or anomalous properties, depending on the statistics of the fluctuations, with distinct regimes from those observed, e.g., in standard Continuous-Time Random Walk models. Expand
Tempered Mittag-Leffler noise-induced resonant behaviors in the generalized Langevin system with random mass
In this study, we propose the fluctuating-mass generalized Langevin equation (GLE) with a tempered Mittag-Leffler (M-L) noise, and investigate the generalized stochastic resonance (GSR) phenomena inExpand
A New Dynamical Method for Bearing Fault Diagnosis Based on Optimal Regulation of Resonant Behaviors in a Fluctuating-Mass-Induced Linear Oscillator
The results show that the proposed GST-FMLO system performs the best in the bearing fault diagnoses of inner race, outer race and rolling element, and has the great potential for online fault diagnosis. Expand


The Noisy Oscillator: Random Mass, Frequency, Damping
Deterministic and Random Oscillators White and Color Noise Brownian Motion Overdamped Harmonic Oscillator with Additive Noise Overdamped Harmonic Oscillator with Multiplicative Noise OverdampedExpand
Oscillations and Traveling Waves in Chemical Systems
The Mathematical Aspects of Temporal Oscillations in Reacting Systems Experimental and Mechanistic Characterization of Bromate-Ion-Driven Chemical Oscillations and Traveling Waves in Closed Systems AExpand
Generalized Technical Analysis. Effects of transaction volume and risk
We generalize the momentum indicator idea taking into account the volume of transactions as a multiplicative factor. We compare returns obtained following strategies based on the classical or theExpand