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Titlebook: Delay-Coupled Complex Systems; and Applications to Valentin Flunkert Book 2011 Springer-Verlag Berlin Heidelberg 2011 Complex networks.Con

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发表于 2025-3-21 18:28:36 | 显示全部楼层 |阅读模式
书目名称Delay-Coupled Complex Systems
副标题and Applications to
编辑Valentin Flunkert
视频video
概述Reports important progress in the control of complex dynamics.Gives fundamental insights into the interplay of delay and synchronization.Nominated as an outstanding contribution by the Technical Unive
丛书名称Springer Theses
图书封面Titlebook: Delay-Coupled Complex Systems; and Applications to  Valentin Flunkert Book 2011 Springer-Verlag Berlin Heidelberg 2011 Complex networks.Con
描述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.
出版日期Book 2011
关键词Complex networks; Control theory; Delay coupling; Non-linear optics; Nonlinear dynamics; Prizewinning the
版次1
doihttps://doi.org/10.1007/978-3-642-20250-6
isbn_softcover978-3-642-26896-0
isbn_ebook978-3-642-20250-6Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightSpringer-Verlag Berlin Heidelberg 2011
The information of publication is updating

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发表于 2025-3-21 21:14:46 | 显示全部楼层
Towards Stabilization of Odd-Number Orbits in Experimentsase can naturally introduce a rotation "as reported by (Fiedler et al. Phys. Rev. E 77:066207, 2008)" (see Sect. 7.1). But what happens, for example, if we have only access to one dynamical variable? We will give some answers to this question in the following "as reported by (Flunkert and Schöll. To
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Lebensführung in der Schwangerschaftcondition on the oscillator’s nonlinearity, which is necessary and sufficient to find coupling parameters for successful stabilization. We prove these conditions and review previous results on the stabilization of odd-number orbits by time-delayed feedback. Finally, we illustrate the results with numerical simulations.
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Medikamente in Schwangerschaft und Stillzeitif small perturbations of the systems initial condition are amplified resulting in an unpredictable dynamical behavior (see .). Stable synchronization of two systems on the other hand occurs when deviations between the system states decay with time (negative transversal Lyapunov exponent).
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