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• W2114156729 endingPage "51" @default.
• W2114156729 startingPage "35" @default.
• W2114156729 abstract "The authors identify a class of excitable two-dimensional model systems, the excitators, that provide an entry point to the understanding of the mechanisms of discrete and rhythmic movement generation and a variety of related phenomena, such as false starts and the geometry of phase space trajectories. The starting point of their analysis is the topological properties of the phase flow. In particular, the phenomenon of false starts provides a characteristic structural condition for the phase flow, the separatrix, which partitions the phase space. Threshold phenomena, which are characteristic of excitable systems, as well as stable and unstable fixed points and periodic orbits, are discussed. Stable manifolds in the proximity of fixed points, resulting in an overshoot and a slow return phase after movement execution, are predicted in the analysis. To investigate coordination phenomena, the authors discuss the effects of two types of couplings, the sigmoidal coupling and a truncated version thereof, known as the Haken-Kelso-Bunz (HKB) coupling. They show analytically and numerically that the sigmoidal coupling leads to convergence phenomena in phase space, whereas the HKB coupling displays convergent as well as divergent behaviors. The authors suggest a specific representation of the excitator that allows the quantification of the predictions." @default.
• W2114156729 created "2016-06-24" @default.
• W2114156729 creator A5047727568 @default.
• W2114156729 creator A5081751705 @default.
• W2114156729 date "2005-01-01" @default.
• W2114156729 modified "2023-09-29" @default.
• W2114156729 title "The Excitator as a Minimal Model for the Coordination Dynamics of Discrete and Rhythmic Movement Generation" @default.
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• W2114156729 doi "https://doi.org/10.3200/jmbr.37.1.35-51" @default.
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