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Delay-Coupled Complex Systems - and Applications to Lasers (Paperback, 2011 ed.)
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Delay-Coupled Complex Systems - and Applications to Lasers (Paperback, 2011 ed.)
Series: Springer Theses
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This work addresses time-delay in complex nonlinear systems and, in
particular, its applications in complex networks; its role in
control theory and nonlinear optics are also investigated. Delays
arise naturally in networks of coupled systems due to finite signal
propagation speeds and are thus a key issue in many areas of
physics, biology, medicine, and technology. Synchronization
phenomena in these networks play an important role, e.g., in the
context of learning, cognitive and pathological states in the
brain, for secure communication with chaotic lasers or for gene
regulation. The thesis includes both novel results on the control
of complex dynamics by time-delayed feedback and fundamental new
insights into the interplay of delay and synchronization. One of
the most interesting results here is a solution to the problem of
complete synchronization in general networks with large coupling
delay, i.e., large distances between the nodes, by giving a
universal classification of networks that has a wide range of
interdisciplinary applications.
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