File:Phase-Amplitude-Descriptions-of-Neural-Oscillator-Models-2190-8567-3-2-S3.ogv

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Original file ‎(Ogg Theora video file, length 2.6 s, 1,075 × 845 pixels, 3.43 Mbps, file size: 1.06 MB)

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English: A movie showing the accumulation of folds in the kicked ML model. The thin black line represents the underlying periodic orbit of the system x˙=f(x), with f taken for the ML model. Every T units of time, we apply a kick taking v↦v−A, where A=2.0, whilst leaving w unchanged, to all phase-points. The movie then shows the evolution of all of these phase-points. Please note that this movie does not show trajectories of the system, but the image of points starting on the limit cycle, under the action of the kick composed with the flow generated by x˙=f(x). This movie show the action of 4 such kicks. We observe that trajectories spend a long time near the saddle node to the bottom left of the figure, so that these trajectories travel slower than those close to the limit cycle. As we apply more kicks, we see the folds developing and accumulating (MOV 2118 kB)
Date
Source Wedgwood K, Lin K, Thul R, Coombes S (2013). "Phase-Amplitude Descriptions of Neural Oscillator Models". Journal of Mathematical Neuroscience. DOI:10.1186/2190-8567-3-2. PMID 23347723. PMC: 3582465.
Author Wedgwood K, Lin K, Thul R, Coombes S
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This file is licensed under the Creative Commons Attribution 2.0 Generic license.
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This file was transferred to Wikimedia Commons from PubMed Central by way of the Open Access Media Importer.
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Date/TimeThumbnailDimensionsUserComment
current07:01, 8 March 20132.6 s, 1,075 × 845 (1.06 MB)Open Access Media Importer Bot (talk | contribs)Automatically uploaded media file from Open Access source. Please report problems or suggestions here.

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