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Bistable behaviour in squeezed vacua: II. Stability analysis and chaos |
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| Authors: | H A Batarfi S S Hassan R Saunders R K Bullough |
| Institution: | (1) Faculty of Science, Mathematics Department (Women’s Section), King Abdul-Aziz University, P.O. Box 41101, Jeddah, 21521, Saudi Arabia;(2) Faculty of Science, Mathematics Department, Ain Shams University, Cairo, Egypt;(3) Department of Mathematics and Physics, Manchester Metropolitan University, Manchester, M1 5GD, England;(4) Mathematics Department, UMIST, P.O. Box 88, Manchester, M60 1QD, England |
| Abstract: | Linear stability analysis and (numerical) investigation of the periodic and chaotic self-pulsing behaviour are presented for the Maxwell-Bloch equations of a bistable model in contact with a squeezed vacuum field. Effect of the squeeze phase parameter on the period doubling bifurcation that preceeds chaos is examined for the adiabatic and non-adiabatic regimes. |
| Keywords: | PACS" target="_blank">PACS 42 65 Pc Optical bistability multistability and switching 42 65 Sf Dynamics of nonlinear optical systems optical instabilities optical chaos and complexity optical spatio-temporal dynamics |
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