https://doi.org/10.1007/s10053-000-8811-3
Bistable behaviour in squeezed vacua: II. Stability analysis and chaos
1
King Abdul-Aziz University, Faculty of Science, Mathematics Department (Women's
Section), P.O. Box 41101,
Jeddah 21521, Saudi Arabia
2
Ain Shams University, Faculty of Science, Mathematics Department, Cairo, Egypt
3
Department of Mathematics and Physics, Manchester Metropolitan University,
Manchester M1 5GD, England
4
UMIST, Mathematics Department, P.O. Box 88, Manchester M60 1QD, England
Received:
12
March
1999
Revised:
20
August
1999
Published online: 15 March 2000
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.
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
