Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Synchronized Attractors and Phase Entrained with Cavity Loss of the Coupled Laser’s Map

Version 1 : Received: 5 January 2022 / Approved: 6 January 2022 / Online: 6 January 2022 (12:49:24 CET)

How to cite: Abdul, A.; Ur Rahman, A.; Minjing, C.; Akbar, J.; Saif, F.; Zhang, Z. Synchronized Attractors and Phase Entrained with Cavity Loss of the Coupled Laser’s Map. Preprints 2022, 2022010089. https://doi.org/10.20944/preprints202201.0089.v1 Abdul, A.; Ur Rahman, A.; Minjing, C.; Akbar, J.; Saif, F.; Zhang, Z. Synchronized Attractors and Phase Entrained with Cavity Loss of the Coupled Laser’s Map. Preprints 2022, 2022010089. https://doi.org/10.20944/preprints202201.0089.v1

Abstract

The laser differential equations are used to transform them into identical coupled maps. Valuable results are deduced during analytical and numerical studies on cavity loss. Phase and spatiotemporal synchronized attractors are observed via quasi-chaos under a certain range of controlling parameters, and symmetry breaking of chaotic attractors due to collision with their basin boundaries, and transpire differently from the previous attractors. During the numerical simulation, it is found that the sequence of repeated strange attractors if the coupling strength further increases, which are orthogonal mirror images (the dynamics of the system is the same at different values of controlling parameters). Moreover, it can help us to predict future problems and their solutions based on current issues, if we develop this model in more general.

Keywords

Fractals; Strange attractors; Crisis; Bifurcation

Subject

Physical Sciences, Mathematical Physics

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