Phase-selective entrainment of nonlinear oscillator ensembles

Anatoly Zlotnik, Raphael Nagao, István Z. Kiss and Jr-Shin Li ()
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Anatoly Zlotnik: Center for Nonlinear Studies, MS B258, Los Alamos National Laboratory
Raphael Nagao: Saint Louis University
István Z. Kiss: Saint Louis University
Jr-Shin Li: Washington University in St Louis

Nature Communications, 2016, vol. 7, issue 1, 1-7

Abstract: Abstract The ability to organize and finely manipulate the hierarchy and timing of dynamic processes is important for understanding and influencing brain functions, sleep and metabolic cycles, and many other natural phenomena. However, establishing spatiotemporal structures in biological oscillator ensembles is a challenging task that requires controlling large collections of complex nonlinear dynamical units. In this report, we present a method to design entrainment signals that create stable phase patterns in ensembles of heterogeneous nonlinear oscillators without using state feedback information. We demonstrate the approach using experiments with electrochemical reactions on multielectrode arrays, in which we selectively assign ensemble subgroups into spatiotemporal patterns with multiple phase clusters. The experimentally confirmed mechanism elucidates the connection between the phases and natural frequencies of a collection of dynamical elements, the spatial and temporal information that is encoded within this ensemble, and how external signals can be used to retrieve this information.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:nat:natcom:v:7:y:2016:i:1:d:10.1038_ncomms10788

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DOI: 10.1038/ncomms10788

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