Related Experiment Video
Updated: Sep 20, 2026

Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
Published on: February 28, 2016
Asymmetric bistable systems subject to periodic and stochastic forcing in the strongly nonlinear regime: switching
A Nikitin1, N G Stocks, A R Bulsara
1School of Engineering, University of Warwick, Coventry CV4 7AL, United Kingdom.
Abstract:
A detailed theoretical analysis of the dynamics of a sinusoidally driven noisy asymmetric bistable system is presented. The results are valid for any two-state system, however, the specific case of the Duffing potential is considered in detail. The dynamics are considered in the weak noise limit, i.e., when the response of the system to the external periodic field is strongly nonlinear. The system asymmetry is created by a nonzero dc component of the external force, and manifests itself as an asymmetry between the mean switching times between the potential wells. We obtain explicit analytic expressions for the whole hierarchy of switching time distributions (including the residence time and return time distributions). We also obtain expressions for the average residence times and describe how they depend on asymmetry, together with an explicit expression for the difference between the residence times in the weak noise limit; the results are presented in the context of using the switching dynamics to detect weak dc target signals.
Related Concept Videos
BIBO stability of continuous and discrete -time systems
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system.
Second Order systems II
If ζ...
Forced Oscillations
Classification of Systems-II
Multimachine Stability
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
Pole and System Stability
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's response.
