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Titlebook: Mathematics and Mechanics - The Interplay; Volume I: The Basics Luigi Morino Book 2021 Springer-Verlag GmbH Germany, part of Springer Natur

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Luigi Morinoy coupled oscillators. Then, we elaborate the Kuramoto model of ensembles of coupled oscillators and generalise it for time-varying couplings. Using the recently introduced Ott-Antonsen ansatz we show that such ensembles of oscillators can be solved analytically. This opens up a whole new area where
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Luigi Morinod as singular perturbation problems. It is the interplay of the dynamics on different temporal and spatial scales that creates complicated patterns and rhythms. Many important physiological functions are linked to time-dependent changes in the forcing which leads to nonautonomous behaviour of the ce
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Luigi Morinod as singular perturbation problems. It is the interplay of the dynamics on different temporal and spatial scales that creates complicated patterns and rhythms. Many important physiological functions are linked to time-dependent changes in the forcing which leads to nonautonomous behaviour of the ce
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Luigi Morinoences developed in Chapter 4. Another important element is a technical result originally proved by Luce (1959/2005). Luce showed that there is a close link between the utility of an object and the probability that it is chosen. More precisely put, he proved that the higher the utility of an object i
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