Abstract
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 λ0 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.
Original language | English |
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Article number | 012902 |
Journal | Physical Review E |
Volume | 88 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jul 2013 |
Externally published | Yes |
Keywords
- Synchronization
- coupled oscillators
- Complex systems
- Delay and functional equations