Broad class of nonlinear Langevin equations driven by multiplicative Ornstein–Uhlenbeck noise: Generalized n-moment and generalized second Einstein relation

KS Fa, S Pianegonda, MGE da Luz - Physica A: Statistical Mechanics and …, 2023 - Elsevier
A wide class of the nonlinear Langevin equations driven by a generic multiplicative Ornstein–
Uhlenbeck noise is investigated, with time–space-dependent drift and diffusion coefficients …

Robust H Control for ICPT Process With Coil Misalignment and Time Delay: A Sojourn-Probability-Based Switching Case

T Li, E Tian - IEEE Transactions on Circuits and Systems I …, 2021 - ieeexplore.ieee.org
In this paper, the robust control problem is studied for the inductively coupled power transfer
(ICPT) process with coil misalignment, energy bounded interference and time-varying delay …

Fokker-Planck equation for the non-Markovian Brownian motion in the presence of a magnetic field

J Das, S Mondal, BC Bag - The Journal of chemical physics, 2017 - pubs.aip.org
In the present study, we have proposed the Fokker-Planck equation in a simple way for a
Langevin equation of motion having ordinary derivative (OD), the Gaussian random force …

Non-Markovian Brownian motion in a magnetic field and time-dependent force fields

JC Hidalgo-Gonzalez, JI Jiménez-Aquino… - Physica A: Statistical …, 2016 - Elsevier
This work focuses on the derivation of the velocity and phase-space generalized Fokker–
Planck equations for a Brownian charged particle embedded in a memory thermal bath and …

Memory effects for a stochastic fractional oscillator in a magnetic field

R Mankin, K Laas, T Laas, S Paekivi - Physical Review E, 2018 - APS
The problem of random motion of harmonically trapped charged particles in a constant
external magnetic field is studied. A generalized three-dimensional Langevin equation with …

Two-dimensional chaotic thermostat and behavior of a thermalized charge in a weak magnetic field

GJ Morales - Physical Review E, 2019 - APS
A two-dimensional version of a chaotic thermostat is investigated. Its structure follows the
concept previously introduced by the author [GJ Morales, Phys. Rev. E 97, 032203 (2018) …

Brownian motion in a gas of charged particles under the influence of a magnetic field

J Tóthová, V Lisý - Physica A: Statistical Mechanics and its Applications, 2020 - Elsevier
The Brownian motion of a particle immersed in a gas of other charged particles is
considered when the system is placed in a constant magnetic field. The Zwanzig–Caldeira …

Asymmetric space-dependent systems: partial stabilization through the addition of noise and exact solutions for the corresponding nonlinear Langevin equations

KS Fa, CL Ho, YB Matos, MGE da Luz - Physica Scripta, 2023 - iopscience.iop.org
In many instances, the dynamical richness and complexity observed in natural phenomena
can be related to stochastic drives influencing their temporal evolution. For example, random …

Two coupled population growth models driven by Gaussian white noises

K Sau Fa - Chaos: An Interdisciplinary Journal of Nonlinear …, 2024 - pubs.aip.org
Exact solution for the probability density function is considered for two coupled population
growth models driven by Gaussian white noises. Moreover, n-moments of interactions of the …

Similar solutions for nonlinear Langevin equations with the drift and diffusion coefficients separable in time and space

KS Fa - Journal of Statistical Mechanics: Theory and …, 2020 - iopscience.iop.org
The exact solution is obtained for a class of nonlinear Langevin equations, driven by
Gaussian white noise, with drift and diffusion coefficients separable in time and space. In …