光学双稳态方程的定常分岔和临界慢化现象

The Steady Bifurcation and Phenomenon of Critical Slowing Down of the Absorptive Optical Bistability Equation

用新的方法研究吸收型光学双稳态方程的定常分岔问题和临界慢化现象 .给出光学双稳态的存在性证明 ,得到定常分岔图就是熟知的 S-型双稳响应曲线 ;分析了临界慢化现象 ,给出了临界慢化时间的估计 .

The steady bifurcation and phenomenon of critical slowing down of the absorptive optical bistability equation are investigated by using new methods.The existence of optical bistability is proved.It is shown that steady bifurection diagram is the known S shape curve of bistability.The phenomenon of critical slowing down is analyzed.The time of crtical slowing down is estimated.