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Titlebook: Complex Time-Delay Systems; Theory and Applicati Fatihcan M. Atay Book 2010 Springer-Verlag Berlin Heidelberg 2010 Chimera.bifurcation.comp

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Astrophysics and Space Science Libraryexample, Sect. 8.5)—such as automatic, economic, and, for our purpose, in biological modeling because it can be associated with problems in which it is important to take into account some history of the state variable (e.g., gestation period, cell cycle durations, or incubation time [23, 35]).
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https://doi.org/10.1007/978-3-642-02329-3Chimera; bifurcation; complex system; complex systems; complexity; delayed neural networks; stochastic del
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Delay-Induced Stability: From Oscillators to Networks,t so familiar is that the delays could also have the opposite effect, namely that they could suppress oscillations and stabilize equilibria which would be unstable in the absence of delays. Research in this area is relatively sparse, as stabilization is not a typical or generic effect of time delays
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Time-Delayed Feedback Control: From Simple Models to Lasers and Neural Systems,ising stabilization of unstable periodic orbits embedded in a deterministic chaotic attractor, which is generally referred to as ., stabilization of unstable fixed points (steady states), or control of the coherence and timescales of stochastic motion.
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Finite Propagation Speeds in Spatially Extended Systems,stems they have been found to evoke novel spatio-temporal phenomena [4, 8–10, 12, 15, 21, 22, 24, 26, 28, 29, 37, 39]. This effect may be understood by the similarity of the delay caused by the finite propagation speed and other intrinsic timescales.
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Stochastic Delay-Differential Equations, the effects of noise in nonlinear systems with delays. The standard Fokker–Planck approach is not justified because it is meant for Markovian systems. Delay-differential systems are non-Markovian, although various approximations to them might be Markovian.
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Stability and Hopf Bifurcation for a First-Order Delay Differential Equation with Distributed Delayexample, Sect. 8.5)—such as automatic, economic, and, for our purpose, in biological modeling because it can be associated with problems in which it is important to take into account some history of the state variable (e.g., gestation period, cell cycle durations, or incubation time [23, 35]).
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