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Hidden multi-scroll and coexisting self-excited attractors in optical injection semiconductor laser system: Its
A D Mengue1, B Z Essimbi2,3
1Department of Basic Scientific Education, Higher Technical Teachers Training College, University of Ebolowa, PO Box 886, Ebolowa, Cameroon.
Chaos (Woodbury, N.Y.)
|November 14, 2024
Summary
This study explores hidden and coexisting multi-scroll attractors in semiconductor laser models using advanced analytical and numerical methods. Researchers identified new attractor formations and analyzed their dynamics, confirming findings with circuit simulations.
Area of Science:
- Nonlinear Dynamics
- Laser Physics
- Chaos Theory
Background:
- Semiconductor lasers exhibit complex dynamics under optical injection.
- Understanding multi-scroll attractors is crucial for advanced laser applications.
- Existing models require refinement to capture intricate dynamical behaviors.
Purpose of the Study:
- Investigate hidden and coexisting self-excited multi-scroll attractors.
- Analyze the formation and structural dynamics of novel attractors.
- Explore the emergence of hidden attractors and their parameter dependence.
Main Methods:
- Modified rate equations model of semiconductor lasers (REM-SCLs).
- Analytical and numerical methods, including two-parameter bifurcation analysis.
- Electronic circuit simulation using PSpice.
Main Results:
- Identified and characterized new coexisting and hidden multi-scroll attractors.
- Clarified the structural dynamics and fractal basin boundaries.
- Demonstrated temporal control of optical waves via an electronic circuit.
Conclusions:
- The modified REM-SCLs model effectively reveals complex attractor dynamics.
- Bifurcation analysis provides insights into attractor evolution and stability.
- Experimental validation through circuit simulation confirms theoretical predictions.

