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Computation of invariant curves in the analysis of periodically forced neural oscillators

Author
Perez, A.; Huguet, G.; Martinez-seara, M.
Type of activity
Book chapter
Book
Nonlinear systems, Vol 2. nonlinear phenomena in biology, optics and condensed matter
First page
63
Last page
81
Publisher
Springer
Date of publication
2018
ISBN
978-3-319-72218-4 Open in new window
Repository
http://hdl.handle.net/2117/127401 Open in new window
URL
https://www.springer.com/us/book/9783319722177 Open in new window
Abstract
Background oscillations, reflecting the excitability of neurons, are ubiq- uitous in the brain. Some studies have conjectured that when spikes sent by one population reach the other population in the peaks of excitability, then informa- tion transmission between two oscillating neuronal groups is more effective. In this context, phase locking relationships between oscillating neuronal populations may have implications in neuronal communication as they assure synchronous activity between brain ar...
Citation
Perez, A., Huguet, G., Martinez-seara, T. Computation of invariant curves in the analysis of periodically forced neural oscillators. A: "Nonlinear systems, Vol 2. nonlinear phenomena in biology, optics and condensed matter.". Berlín: Springer, 2018, p. 63-81.
Keywords
Synchronization, invariant curves, phase locking, rotation number, stroboscopic map
Group of research
SD - UPC Dynamical Systems

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