Strong and weak chaos in networks of semiconductor lasers with time-delayed couplings.
Strong and weak chaos in networks of semiconductor lasers with time-delayed couplings.
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DOI：
10.1103/physreve.88.012902
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发表时间：
2012-10
期刊：
影响因子：
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通讯作者：
Sven Heiligenthal;T. Jüngling;O. D’Huys;D. A. Arroyo-Almanza;M. C. Soriano;Ingo Fischer;I. Kanter;W. Kinzel
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文献类型：
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作者：
Sven Heiligenthal;T. Jüngling;O. D’Huys;D. A. Arroyo-Almanza;M. C. Soriano;Ingo Fischer;I. Kanter;W. Kinzel
具有时滞耦合的非线性网络可以表现出强混沌和弱混沌，这取决于它们的李雅普诺夫指数随时滞的变化。我们研究了半导体激光器的强混沌和弱混沌，无论是具有时间延迟的自反馈还是小网络。我们研究的依赖于泵浦电流，并考虑是否可以确定的强度迹线的形状，自相关性，和外腔模式的强弱混沌的问题。将亚李雅普诺夫指数λ（0）的概念推广到两个时间尺度分离时滞系统的情形。给出了激光网络中强混沌和弱混沌的实验证据，支持了耦合强度单调增加时弱到强到弱混沌的序列。最后，我们讨论了几个不同的子李雅普诺夫指数的网络和评论的子李雅普诺夫指数的依赖于网络中的激光器的输入的数量的强和弱混沌。
Nonlinear networks with time-delayed couplings may show strong and weak chaos, depending on the scaling of their Lyapunov exponent with the delay time. We study strong and weak chaos for semiconductor lasers, either with time-delayed self-feedback or for small networks. We examine the dependence on the pump current and consider the question of whether strong and weak chaos can be identified from the shape of the intensity trace, the autocorrelations, and the external cavity modes. The concept of the sub-Lyapunov exponent λ(0) is generalized to the case of two time-scale-separated delays in the system. We give experimental evidence of strong and weak chaos in a network of lasers, which supports the sequence of weak to strong to weak chaos upon monotonically increasing the coupling strength. Finally, we discuss strong and weak chaos for networks with several distinct sub-Lyapunov exponents and comment on the dependence of the sub-Lyapunov exponent on the number of a laser's inputs in a network.