Martignoli, S; Stoop, R (2008). Phase-locking and Arnold coding in prototypical network topologies. Discrete and Continuous Dynamical Systems. Series B, 9(1):145-162.
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Phase- and frequency-locking phenomena among coupled biological oscillators are a topic of current interest, in particular to neuroscience. In the case of mono-directionally pulse-coupled oscillators, phase-locking is well understood, where the phenomenon is globally described by Arnold tongues. Here, we develop the tools that allow corresponding investigations to be made for more general pulse-coupled networks. For two bi-directionally coupled oscillators, we prove the existence of three-dimensional Arnold tongues that mediate from the mono- to the bi-directional coupling topology. Under this transformation, the coupling strength at which the onset of chaos is observed is invariant. The developed framework also allows us to compare information transfer in feedforward versus recurrent networks. We find that distinct laws govern the propagation of phase-locked spike-time information, indicating a qualitative difference between classical artificial vs. biological computation.
|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Neuroinformatics|
|Dewey Decimal Classification:||570 Life sciences; biology|
|Deposited On:||08 Mar 2009 19:45|
|Last Modified:||27 Nov 2013 20:16|
|Publisher:||American Institute of Mathematical Sciences|
|Related URLs:||http://www.aimsciences.org/journals/dcdsB/index.htm (Publisher)|
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