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Stochastic bifurcation in a driven laser system: experiment and theory
Lora Billings1, Ira B Schwartz, David S Morgan
1Department of Mathematical Sciences, Montclair State University, Montclair, New Jersey 07043, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2004
Summary
Adding finite noise to a class-B laser model can induce chaos-like behavior. This study identifies a global mechanism for noise-induced chaos in optics experiments, dependent on noise levels and system topology.
Area of Science:
- Physics
- Nonlinear Dynamics
- Optics
Background:
- Class-B lasers exhibit complex dynamics.
- Stochastic perturbations can alter system behavior.
- Understanding noise effects is crucial for laser dynamics.
Purpose of the Study:
- To analyze the impact of stochastic perturbations on a class-B laser model.
- To identify a mechanism for noise-induced chaos.
- To experimentally and theoretically validate findings.
Main Methods:
- Analysis of a higher-dimensional dynamical system.
- Application of the stochastic Frobenius-Perron operator technique.
- Computation of a transition matrix to approximate the stochastic Frobenius-Perron operator.
Main Results:
- Stochastic perturbations changed laser dynamics from periodic to chaos-like behavior.
- A global mechanism for inducing chaos-like behavior via noise was identified.
- The mechanism depends on noise standard deviation and system topology.
Conclusions:
- Stochastic perturbations can lead to noise-induced chaos in realistic optics systems.
- The study provides a quantitative description of stochastic bifurcation.
- Findings are validated through both theoretical analysis and experimental observation.