浙江师范大学学报（自然科学版）
浙江師範大學學報（自然科學版）
절강사범대학학보（자연과학판）
Journal of Zhejiang Normal University(Natural Sciences)
2015年
4期
372-378
,共7页
半导体激光器%稳定性%平衡点%Hopf分叉
半導體激光器%穩定性%平衡點%Hopf分扠
반도체격광기%은정성%평형점%Hopf분차
semiconductor laser%stability%equilibrium%Hopf bifurcation
主要研究了一个具有AC耦合非线性光电回路的单模半导体激光系统的分叉行为.应用分叉理论及Hopf分叉定理,详细分析了它的平衡点分叉及稳定性随系统参数的变化规律,获得了平衡点附近存在Hopf分叉周期解的解析条件.最后的数值试验表明这样的周期解是不稳定的.
主要研究瞭一箇具有AC耦閤非線性光電迴路的單模半導體激光繫統的分扠行為.應用分扠理論及Hopf分扠定理,詳細分析瞭它的平衡點分扠及穩定性隨繫統參數的變化規律,穫得瞭平衡點附近存在Hopf分扠週期解的解析條件.最後的數值試驗錶明這樣的週期解是不穩定的.
주요연구료일개구유AC우합비선성광전회로적단모반도체격광계통적분차행위.응용분차이론급Hopf분차정리,상세분석료타적평형점분차급은정성수계통삼수적변화규률,획득료평형점부근존재Hopf분차주기해적해석조건.최후적수치시험표명저양적주기해시불은정적.
Bifurcation behaviors of a closed-loop optical system , consisting of a single-mode semiconductor laser with AC-coupled nonlinear optoelectronic feedback , were theoretically studied.By using bifurcation method of dynamical system including the Hopf bifurcation theorem , bifurcation and stability of equilibria were analysed in detail and conditions under which Hopf bifurcation occured near an equilibrium were obtained. Finally, numerical experiments were carried out to show that Hopf bifurcating periodic orbit was unstable.
