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Generalized multistability and its control in a laser.

Riccardo Meucci1, Jean Marc Ginoux2, Mahtab Mehrabbeik3

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Summary
This summary is machine-generated.

We explored a laser model with cavity loss modulation, finding that multistability depends on system dissipation. A secondary perturbation can eliminate bistability, favoring the less dissipative attractor, even when chaotic.

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Area of Science:

  • Nonlinear Dynamics
  • Laser Physics
  • Chaos Theory

Background:

  • The laser model with cavity loss modulation, first studied in 1982, exhibits chaos and generalized multistability.
  • Multistability is defined as the coexistence of multiple attractors in nonlinear dynamical systems.
  • Previous research highlighted the complexity arising from simple nonlinear systems.

Purpose of the Study:

  • To investigate the dependence of multistability on system dissipation in the laser model.
  • To explore the control of bistability using a secondary sinusoidal perturbation.
  • To determine the conditions under which a specific attractor can be selected.

Main Methods:

  • Revisiting the established laser model with cavity loss modulation.
  • Analyzing the system's behavior under varying dissipation levels.
  • Applying a secondary sinusoidal perturbation with controlled relative phase.

Main Results:

  • Demonstrated that multistability in this laser model is directly influenced by system dissipation.
  • Showed that a secondary perturbation can successfully remove bistability.
  • Identified that the surviving attractor is consistently the one with lower dissipation, even when one attractor is chaotic.

Conclusions:

  • The dissipation level is a critical factor governing multistability in modulated laser systems.
  • A secondary perturbation offers an effective strategy to control and select attractors.
  • This control method is particularly valuable for suppressing chaotic attractors in favor of stable, less dissipative ones.