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Controlling chaos in a fast diode resonator using extended time-delay autosynchronization: Experimental observations
David W. Sukow1, Michael E. Bleich, Daniel J. Gauthier
1Department of Physics and Center for Nonlinear and Complex Systems, Duke University, P.O. Box 90305, Durham, North Carolina 27708.
Chaos (Woodbury, N.Y.)
|June 5, 2003
Summary
We stabilized unstable periodic orbits in a fast diode resonator using time-delay autosynchronization. This method, effective electronically and optically, enhances control over chaotic dynamics in lasers.
Area of Science:
- Nonlinear Dynamics
- Optical Engineering
- Chaos Theory
Background:
- Fast diode resonators exhibit unstable periodic orbits.
- Controlling chaotic dynamics in such systems is challenging.
- Existing methods may lack efficiency or broad applicability.
Purpose of the Study:
- To stabilize unstable periodic orbits in a fast diode resonator.
- To investigate the efficacy of extended time-delay autosynchronization.
- To explore potential applications in controlling chaotic lasers.
Main Methods:
- Utilized extended time-delay autosynchronization for stabilization.
- Employed feedback based on state variable differences and delayed values.
- Developed an electronic implementation with an all-optical counterpart.
Main Results:
- Successfully stabilized unstable periodic orbits in a 10.1 MHz driven diode resonator.
- Demonstrated that increased weights for delayed states enlarge control domain and reduce delay sensitivity.
- Identified destabilizing mechanisms at control boundaries.
Conclusions:
- Extended time-delay autosynchronization is an effective method for stabilizing fast dynamical systems.
- The technique offers a practical approach for controlling chaotic lasers.
- Theoretical analysis aligns well with experimental findings on control domain characteristics.