Related Experiment Video
Updated: Jun 7, 2025

Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
Published on: February 28, 2016
Fokker-Planck dynamics of two coupled van der Pol oscillators subjected to stochastic forcing
Minwoo Lee1,2, Vikrant Gupta3,4, Larry K B Li2,5
1Department of Mechanical Engineering, <a href="https://ror.org/00x514t95">Hanbat National University</a>, Daejeon 34158, South Korea.
Abstract:
We present probabilistic solutions to a pair of mutually coupled Van der Pol oscillators subjected to stochastic forcing. We consider three different types of coupling: reactive, dissipative, and nonlinear coupling. Using stochastic averaging, we derive the stationary Fokker-Planck equation for each oscillator, yielding a probability density function for the fluctuation amplitude. For each coupling type, we numerically validate the Fokker-Planck solutions for different noise levels and coupling strengths, with a focus on the stochastic and bifurcation characteristics. The validated analytical expressions derived in this study could serve to improve the prediction and control of a generic class of coupled oscillator systems operating near the Hopf point in the presence of noise.
Related Concept Videos
Forced Oscillations
Damped Oscillations
Although friction and other non-conservative...
Oscillations about an Equilibrium Position
Types of Damping
Poisson's And Laplace's Equation
Second Order systems II

