Titlebook: Control of Self-Organizing Nonlinear Systems; Eckehard Schöll,Sabine H. L. Klapp,Philipp Hövel Book 2016 Springer International Publishing

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Recent Advances in Reaction-Diffusion Equations with Non-ideal Relaysroblems and introduce a related notion of spatial transversality for initial data and solutions. We assert that the equation with transverse initial data possesses a unique solution, which remains transverse for some time, and also describe its regularity. At a moment when the solution becomes nontr

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Moment Closure—A Brief Reviewsually even infinite, set of coupled differential (or difference) equations. Each equation describes the evolution of one “moment”, a suitable coarse-grained quantity computable from the full state space. If the system is too large for analytical and/or numerical methods, then one aims to reduce it

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Feedback Control in Quantum Transportibution I review recent theoretical proposals to use the techniques of quantum feedback control to manipulate the properties of electron flows and states in quantum-transport devices. Quantum control strategies can be grouped into two broad classes: measurement-based control and coherent control, an

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Chimera States in Quantum Mechanicswo dramatically different dynamical behaviors, i.e., synchronized and desynchronized dynamics. Our aim in this contribution is to discuss signatures of chimera states in quantum mechanics. We study a network with a ring topology consisting of . coupled quantum Van der Pol oscillators. We describe th

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Coronation

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Schnitt- und Lochvorrichtungen,nimodally or bimodally distributed. In the unimodal case, the system exhibits a discontinuous hysteretic transition from an incoherent to a partially synchronized (PS) state. For sufficiently large inertia, the system reveals the coexistence of a PS state and of a standing wave (SW) solution. In the

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Schnitt- und Lochvorrichtungen,considered, automated control scheme, the speed-gradient method, the topology of a network adjusts itself by changing the link weights in a self-organized manner such that the target state is realized. We find that the emerging topology of the network is modulated by the coupling delay. If the delay

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Schnitt- und Lochvorrichtungen,control action is typically to drive the system to a stable equilibrium. Here we also study the possibility of driving the system to a stable limit cycle having a prescribed amplitude and frequency, as well as suppressing unwanted oscillations, using partial state information in the feedback. The pr