Phase-selective entrainment of nonlinear oscillator ensembles

Zlotnik, Anatoly V.; Nagao, Raphael; Kiss, Istvan Z.; Li, Jr -Shin

doi:10.1038/ncomms10788

Title: Phase-selective entrainment of nonlinear oscillator ensembles

Journal Article · Fri Mar 18 00:00:00 EDT 2016 · Nature Communications

DOI:https://doi.org/10.1038/ncomms10788· OSTI ID:1291228

Zlotnik, Anatoly V. ^[1]; Nagao, Raphael ^[2]; Kiss, Istvan Z. ^[2]; Li, Jr -Shin ^[3]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Saint Louis Univ., St. Louis, MO (United States)
Washington Univ. in St. Louis, St. Louis, MO (United States)

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. As a result, 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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1291228

Report Number(s):: LA-UR-16-20738

Journal Information:: Nature Communications, Vol. 7; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 51 works

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