Synchronization: Difference between revisions

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{{See also|Synchronization of chaos}}
 
Synchronization of multiple interacting [[dynamical system]]s can occur when the systems are [[Self-oscillation|autonomous oscillators]]. Poincaré phase oscillators are model systems that can interact and partially synchronize within random or regular networks.<ref name="Nolte">{{cite book | first = David | last = Nolte | title = Introduction to Modern Dynamics: Chaos, Networks, Space and Time | publisher = [[Oxford University Press]] | year = 2015 }}</ref> In the case of global synchronization of phase oscillators, an abrupt transition from unsynchronized to full synchronization takes place when the coupling strength exceeds a critical threshold. This is known as the [[Kuramoto model]] [[phase transition]].<ref name=":1">{{Cite web|url=https://www.youtube.com/watch?v=t-_VPRCtiUg|title = The Surprising Secret of Synchronization|website = [[YouTube]]| date=31 March 2021 }}</ref> Synchronization is an emergent property that occurs in a broad range of dynamical systems, including neural signaling, the beating of the heart and the synchronization of fire-fly light waves. A unified approach that quantifies synchronization in chaotic systems can be derived from the statistical analysis of measured data.<ref> {{Cite journal|last1=Shah|first1=Dipal| last2=Springer|first2=Sebastian|last3=Haario|first3=Heikki|last4=Barbiellini|first4=Bernardo|last5=Kalachev|first5=Leonid|date=2023|title= Data based quantification of synchronization|journal=Foundations of Data Science|volume=5|issue=1|pages=152–176|doi=10.3934/fods.2022020|doi-access=free}}</ref>
 
== Applications ==
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=== Cognitive science ===
 
In cognitive science, integrative (phase) synchronization mechanisms in cognitive neuroarchitectures of modern [[connectionism]] that include coupled oscillators (e.g."Oscillatory Networks"<ref>Werning, M. (2012). Non-symbolic compositional representation and its neuronal foundation: Towards an emulative semantics. In M. Werning, W. Hinzen & E. Machery (eds.), The Oxford handbook of compositionality (pp. 633-654). Oxford University Press. Oxford.</ref>) are used to solve the [[binding problem]] of cognitive neuroscience in perceptual cognition ("feature binding") and in language cognition ("variable binding").<ref>Maurer, H. (2021). ''Cognitive science: Integrative synchronization mechanisms in cognitive neuroarchitectures of the modern connectionism''. CRC Press, Boca Raton/FL, {{ISBN|978-1-351-04352-6}}. {{doi|10.1201/9781351043526}}.</ref><ref>Maurer, H. (2016). "[https://computationalcognitivescience.springeropen.com/articles/10.1186/s40469-016-0010-8 Integrative synchronization mechanisms in connectionist cognitive Neuroarchitectures]". ''Computational Cognitive Science''. 2: 3. {{doi|10.1186/s40469-016-0010-8|doi-access=free}}.</ref><ref>Marcus, G.F. (2001). ''The algebraic mind. Integrating connectionism and cognitive science. Bradford Book'', The MIT Press, Cambridge, {{ISBN|0-262-13379-2}}. {{doi|10.7551/mitpress/1187.001.0001}}.</ref><ref>Bechtel, W. & Abrahamsen, A.A. (2002). Connectionism and the Mind: Parallel Processing, Dynamics, and Evolution in Networks. 2nd Edition. Blackwell Publishers, Oxford.</ref>
 
 
=== Biological networks ===