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Attractor selection in a modulated laser and in the Lorenz circuit
Riccardo Meucci1, Francesco Salvadori, Kais Al Naimee
1CNR-Istituto Nazionale di Ottica Applicata, Largo E. Fermi no 6, 50125 Firenze, Italy. riccardo.meucci@inoa.it
Summary
Researchers demonstrate controlling chaotic systems by tuning parameters. This method successfully manages multistability and bursting regimes in lasers and the Lorenz system, offering new insights into chaotic dynamics control.
Area of Science:
- Nonlinear Dynamics
- Laser Physics
- Chaos Theory
Background:
- Chaotic systems can exhibit generalized multistability (multiple attractors) or interior crises (bursting regimes).
- Experimental control of multistability and bursting has been achieved in modulated class B lasers using feedback methods.
Purpose of the Study:
- To investigate the control of multistability and bursting regimes in chaotic systems.
- To demonstrate parameter modulation for controlling bistability in the Lorenz system.
Main Methods:
- Utilizing a feedback method for controlling multistability in modulated class B lasers.
- Employing parameter modulation to influence bistability in the Lorenz system.
- Analyzing the impact of modulation frequency and operating point on chaotic attractor destruction and boundary crises.
Main Results:
- Successful experimental control of multistability and bursting in a modulated class B laser.
- Demonstration of parameter modulation controlling bistability in the Lorenz system.
- Observation of chaotic attractor destruction via boundary crisis and persistent steady-state control after modulation is switched off.
Conclusions:
- Parameter tuning offers effective control over chaotic system dynamics, including multistability and bursting.
- The developed methods provide precise control over bistability in both experimental lasers and theoretical models like the Lorenz system.
- The findings highlight the potential for robust control of chaotic phenomena through parameter modulation.
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