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Exotic states in a simple network of nanoelectromechanical oscillators

Matheny, Matthew H. and Emenheiser, Jeffrey and Fon, Warren and Chapman, Airlie and Salova, Anastasya and Rohden, Martin and Li, Jarvis and Hudoba de Badyn, Matthias and Pósfai, Márton and Duenas-Osorio, Leonardo and Mesbahi, Mehran and Crutchfield, James P. and Cross, M. C. and D'Souza, Raissa M. and Roukes, Michael L. (2019) Exotic states in a simple network of nanoelectromechanical oscillators. Science, 363 (6431). Art. No. eaav7932. ISSN 0036-8075.

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Synchronization of oscillators, a phenomenon found in a wide variety of natural and engineered systems, is typically understood through a reduction to a first-order phase model with simplified dynamics. Here, by exploiting the precision and flexibility of nanoelectromechanical systems, we examined the dynamics of a ring of quasi-sinusoidal oscillators at and beyond first order. Beyond first order, we found exotic states of synchronization with highly complex dynamics, including weak chimeras, decoupled states, traveling waves, and inhomogeneous synchronized states. Through theory and experiment, we show that these exotic states rely on complex interactions emerging out of networks with simple linear nearest-neighbor coupling. This work provides insight into the dynamical richness of complex systems with weak nonlinearities and local interactions.

Item Type:Article
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URLURL TypeDescription Information ItemData
Matheny, Matthew H. 0000-0002-3488-1083
Fon, Warren0000-0002-5447-2324
Hudoba de Badyn, Matthias0000-0003-0955-2381
Roukes, Michael L.0000-0002-2916-6026
Additional Information:© 2019 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works This is an article distributed under the terms of the Science Journals Default License. 20 October 2018; accepted 24 January 2019. We thank D. Abrams for fruitful comments regarding the traveling-wave states, and J. E. Sader and R. Lifshitz for useful comments regarding the manuscript. We also thank CEA-LETI (Grenoble, France) for providing piezoelectric multilayers enabling this research. We acknowledge critical support and infrastructure provided for this work by the Kavli Nanoscience Institute at Caltech. Funding: This material is based on work supported by, or in part by, the U.S. Army Research Laboratory and the U. S. Army Research Office under MURI award W911NF-13-1-0340 and W911NF-18-1-0028 and Intel Corporation support of CSC as an Intel Parallel Computing Center. Author contributions: M.H.M. and J.L. fabricated the nanomechanical devices; M.H.M., W.F., and M.L.R. designed and constructed the experimental apparatus; M.H.M. wrote the control/measurement software and performed the measurements; M.H.M. analyzed the experimental data with input from J.E., W.F., M.C.C., J.P.C., and M.L.R.; M.H.M. composed and narrated all videos with input from J.P.C.; J.E., M.H.M., A.C., A.S., and M.C.C. performed theoretical modeling with input from R.M.D., J.P.C., M.P., and M.M.; J.E., M.H.M., A.S., and A.C. performed numerical simulations with input from J.P.C., M.R., M.H.d.B., M.L.R., M.M., M.C.C., M.P., and R.M.D.; M.H.M. and M.L.R. conceived the experiment with input from W.F., M.C.C., J.E., A.C., M.M., L.D.-O., R.M.D., and J.P.C.; and M.H.M., M.C.C., W.F., J.P.C., J.E., R.M.D., and M.L.R. prepared the manuscript with input from all authors. All authors discussed the results and their implications equally at all stages. Competing interests: None declared. Data and materials availability: All (other) data needed to evaluate the conclusions in the paper are available in the following online database: 10.5281/zenodo.2543765. All experiments, numerical simulations, and data processing were performed with custom Python and C scripts. Signals were acquired through use of a simultaneous-sampling 8-channel oscilloscope. Oscillator phase was extracted via a Hilbert transform of raw time records from the oscilloscope. Oscilloscope sampling was set to 200 kHz, which is faster than the slow-time oscillator dynamics by about three orders of magnitude.
Group:Kavli Nanoscience Institute
Funding AgencyGrant Number
Army Research LaboratoryUNSPECIFIED
Army Research Office (ARO)W911NF-13-1-0340
Army Research Office (ARO)W911NF-18-1-0028
Record Number:CaltechAUTHORS:20190307-131059551
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Official Citation:Exotic states in a simple network of nanoelectromechanical oscillators BY MATTHEW H. MATHENY, JEFFREY EMENHEISER, WARREN FON, AIRLIE CHAPMAN, ANASTASIYA SALOVA, MARTIN ROHDEN, JARVIS LI, MATHIAS HUDOBA DE BADYN, MÁRTON PÓSFAI, LEONARDO DUENAS-OSORIO, MEHRAN MESBAHI, JAMES P. CRUTCHFIELD, M. C. CROSS, RAISSA M. D’SOUZA, MICHAEL L. ROUKES Science 08 Mar 2019: Vol. 363, Issue 6431, eaav7932 DOI: 10.1126/science.aav7932
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93638
Deposited By: George Porter
Deposited On:07 Mar 2019 21:25
Last Modified:07 Mar 2019 21:55

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