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Phase Locking via Sinusoidal Couplings

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Brain Dynamics

Part of the book series: Springer Series in Synergetics ((SSSYN))

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Abstract

This chapter deals with biological systems composed of elements whose states can be described by phase variables. It will be assumed that the coupling between the elements is determined by sine-functions of their relative phases. As examples of such systems, we treat two neurons (Sect. 11.1), chains of neurons in the lamprey (Sect. 11.2), correlated movements between index fingers (Sect. 11.3) as a paradigm of limb coordination, and, more generally, quadruped motion (Sect. 11.4). In Sect. 11.5 we return to the neuronal level dealing with neuronal groups. As we will see, all these cases share a common mathematical ground.

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© 2008 Springer-Verlag Berlin Heidelberg

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(2008). Phase Locking via Sinusoidal Couplings. In: Brain Dynamics. Springer Series in Synergetics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75238-7_11

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